What is the third proportional of 2x² and 12xy?

Correct option is D

Given:

First term = 2x², Second term = 12xy

Concept Used:

If a : b = b : c, then c is the third proportional.

c = $$\frac{b^2}{a}$$​​

Solution:

Third Proportional = $$\frac{(12xy)^2}{2x^2}$$​​

​$$= \frac{144x^2y^2}{2x^2}$$​​

​$$= 72y^2$$​​