Hi there, my interpretation of this question is as follows.

To find the value of the share price at the end of 2006, simply increase the end of 2005 price by 7.29%.

Which is

Now the increase over the entire 2 years (beginning 2005 to the end of 2006) is 6.71% to reach 47.50801

so find x where therefore the price at the start of 2005 would be