I can see no way that a single player, on a single table, can be in the blinds 3 hands running.
If the player due to be in the big blind next hand is eliminated, then the next player to the left of that position becomes the big blind, and no small blind is posted.
The scenario you"ve described sounds like you played a hand in the big blind, then a hand in the small blind, at which point the player in the big blind was eliminated. You were then asked to post the small blind again, and the player to the left of the eliminated player the big blind.