It is given that the population had increased by 8% between 2001 and 2011.
The population of 2001 is, 34342.
So the 8% of 34342 is,
[tex]\frac{8}{100}\times34342=2747.36[/tex]So by 2011, the population had increased by 2747.36. Thus the population of 2011 is,
[tex]34342+2747.36\approx37089[/tex]