If the two numbers are a and b, then the geometric mean between them is given by $\rm GM = \sqrt{ab}$. If a and b are the first and the third terms of a Geometric Sequence, then the GM gives the second term of that sequence.

Given,

$\rm a = \frac{2}{3}$ and $\rm b = \frac{3}{2}$

By substituting the values into the formula, we get,

$\rm or, GM = \sqrt{\frac{2}{3} \cdot \frac{3}{2}}$

$\rm or, GM =  \sqrt{ \frac{2}{3} \cdot \frac{3}{2} }$

$\rm or, GM =  \sqrt{ 1 }$

$\rm or, GM = \sqrt{ \left ( 1\right )^{2} }$

$\rm \therefore GM = 1$

Hence, the required second term of the given Geometric Sequence is 1.