For completeness CCS left out a pertinent exception regarding a runner in contact with his base. The OP does not have that condition but it had the potential to have been a factor. The runner contacted the fielder's glove about a foot from 3B so we don't have a runner in contact with his base.
"Rule 6.01(a) Penalty for Interference Comment:
A runner who is adjudged to have hindered a fielder who is attempting to make a play on a batted ball is out whether it was intentional or not. If, however, the runner has contact with a legally occupied base when he hinders the fielder, he shall not be called out unless, in the umpire’s judgment, such hindrance, whether it occurs on fair or foul territory, is intentional. If the umpire declares the hindrance intentional, the following penalty shall apply: With less than two out, the umpire shall declare both the runner and batter out. With two out, the umpire shall declare the batter out."