596 : 270 : : 7946 : _____

To find the missing number in the given series, we need to identify the pattern between the numbers.

In the given series, we can observe that the first number, 596, is related to the second number, 270, in some way. Similarly, the third number, 7946, is related to the missing number in the same way.

To determine the pattern, let's calculate the ratio between the first two numbers:

270 / 596 = 0.4535

Now, let's calculate the ratio between the third number and the missing number:

7946 / x = 0.4535

To find the missing number, we can rearrange the equation:

x = 7946 / 0.4535

Calculating this, we find that the missing number is approximately 17500.

Therefore, the missing number in the series is 17500.