Schauffele was alone on 10 under, while overnight leader Paul Casey slipped two strokes behind after struggling on the outward half.
The Englishman racked up three bogeys to fall to nine under, sharing third place with Americans Justin Thomas and Russell Henley.
Jordan Spieth, boosted by an eagle at the par-four 10th, was three shots behind with only four holes left.
Spieth remained the favourite to win the season-long FedExCup points race and its $10 million bonus, but Thomas was also in contention.
(Reporting by Andrew Both in Cary, North Carolina; Editing by Christian Radnedge)
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