Ten people stand in line. The first goes to the back of the line and the next person sits down, so that the person who was third is now first in line. Now that person goes to the back of the line and

Ten people stand in line. The first goes to the back of the line and the next person sits down, so that the person who was third is now first in line. Now that person goes to the back of the line and the next person sits down. This process is repeated until only one person remains. What was the original position in line of the only remaining person?