In a geometric progression of positive terms the 2nd term is 6 and the 6th term is 96. Its 5th term is:

From $ar=6$ and $a{r}^5=96$ we get $r^4=16$, so $r=2$ (the terms are positive) and $a=3$. Then the 5th term is $a{r}^4=3\times 16=48$. (24 is the 4th term — one step short.) The progression is 3, 6, 12, 24, 48, 96.