Two-time U.S. Open champion Retief Goosen would have been tied for the lead, but an errant drive at the 18th cost him. He ended up with a 7-under 65 and is tied with Trevor Immelman, who posted a 66 on Saturday, at 10-under-par 206.
Shaun Micheel, the 2003 PGA champion, carded a 4-under 68 in round three and has sole possession of fifth place at minus-8.
The second round was completed Saturday morning after two weather delays forced the stoppage of play on Friday. After the cut, Van Pelt carried a three-shot lead into the third round.
The margin did not last long as Van Pelt bogeyed his first hole and Furyk rolled in a 24-foot birdie putt at No. 3. Furyk, now within one, made a mess of the fourth to fall two behind again.
Furyk, the 2003 U.S. Open champion, atoned for the miscue at four with a two-putt birdie at the par-5 fifth. Several players threatened the lead, but no player overtook the duo as they both parred the next three holes.
Furyk drew even with Van Pelt thanks to a 3-foot birdie putt at the ninth and both players birdied 10. The pair seemed destined for trouble at 11 as each was in the trees off the tee. Van Pelt played his second down the 12th fairway and pitched his third to 37 feet. Furyk came up short of the green with his approach and chipped to 7 feet. Both holed their par putts to stay at minus-10.
At the par-3 13th, Van Pelt came up 55 feet short of the hole and his birdie try came up 7 feet short. He missed the par putt to fall one behind Furyk as Goosen became the primary challenger to Furyk's lead.
Goosen flew up the leaderboard thanks to his strong play on the back nine. He made the turn at 1 under par, but a 10-foot birdie putt at 10 triggered four consecutive birdies.
He parred 14, then ran home an 8-footer for birdie at the 15th. Goosen tied Furyk in the lead with a 7-foot birdie putt at the 16th and moved ahead with a 6-footer at the 17th.
Goosen hit a horrible drive at Quail Hollow's closing hole and landed in the water. He took a drop, then hit his third into a greenside bunker. Goosen blasted out to a foot and tapped in his bogey.
'I was moaning a bit out there today on the front nine. I hit a few good shots and never really got anything going,' said Goosen. 'On the back nine it suddenly all came at once. I'm happy where I am, somewhere around the lead.'
Immelman was 2 under at the turn, then collected four birdies on his back nine, including a 14-foot birdie putt at the last.
Both Goosen and Immelman were in the clubhouse at 10 under par. Furyk hit a spectacular approach to a foot to set up birdie at the 16th. He was 11 under par, and parred both of his final holes to take the 54-hole lead.
'Obviously I'm happy with the way I played,' said Furyk, who lost in a playoff here last year. 'I'm happy to be out front at this point. I've got another round of golf tomorrow and I need to go out there and attack the golf course again and try to post one more good round.'
Furyk held a piece of the 54-hole lead a few weeks back in Hilton Head. He eventually lost to Aaron Baddeley, so Furyk is anxious to get another crack at win No. 11 on the PGA TOUR.
'I think that it was a good opportunity to win, and I think usually in those situations for the first 30 minutes to hour afterwards you're pretty bitter, and for the next day you're a little disappointed, and eventually you realize you're going to have to get over it and go out there's more days to play golf,' said Furyk.
Adam Scott (66) and Lucas Glover (67) are knotted in sixth place at 7-under-par 209.
Defending champion Vijay Singh (71), Steve Lowery (69) and Shigeki Maruyama (67) are tied for eighth place at minus-7.