If 96 : y :: y : 6, find the positive value of y.

Correct option is C

Given:

96 : y :: y : 6

This means:

​$$\frac{96}{y} = \frac{y}{6}$$​

Solution:

​$$\frac{96}{y} = \frac{y}{6}$$​

$$96 \times 6 = y^2$$​

​$$576 = y^2$$​

​$$y = \sqrt{576} = 24$$​