If 15,25,x are in proportion. Find the value of x.

Correct option is B

Given
The numbers 15, 25, x are in continued proportion.

Formula Used
If three numbers a, b, c are in continued proportion, then $$\frac{a}{b} = \frac{b}{c}.$$​​

Solution
​$$\frac{15}{25} = \frac{25}{x}$$​​
​$$15 \times x = 25 \times 25\\\ \\15x = 625\\\ \\x = \frac{625}{15}\\\ \\x = \frac{125}{3}\\\ \\$$​​
Final Answer
So the correct answer is (b)