Baserunner who started on 1st is going to 3rd, sees the throw to 3rd is way wide to the home plate side and turns for home. 3rd baseman runs into baserunner chasing after the ball which is now well into foul territory between home and 3rd. Baserunner is slowed down but still makes it home safely. Batter stops at second. Should something have been called?
The answer is
NO.
Obstruction is a
delayed dead ball. If the runner reaches the base that the umpires thinks that they would've attained w/o the obstruction,
there is no call. Since the obstructed runner reached home safely, nothing else needs to be done.
What I will say about the play that you describe, is that I'm not completely sure if this is a clear & cut case of obstruction. It could be just a case of incidental contact. It does happen from time to time. Not all cases of contact are obstruction or interference, especially on errant throws. Each incident has got to be judged on its own merit.