To solve for x, we can use the properties of ratios to set up a proportion:

5/8 ÷ 1/3 = 1/25 ÷ x

To divide fractions, we can multiply by the reciprocal:

(5/8) (3/1) = (1/25) (1/x)

15/8 = 1/x

Now, to solve for x, we can take the reciprocal of 15/8:

x = 8/15

Therefore, x = 8/15.