To find the arithmetic mean of a set of numbers, we sum up all the numbers and divide by the number of numbers.
So, the arithmetic mean of 14, 22, and 36 is $(14+22+36)/3 = 72/3 = \boxed{24}$.
The answer is: 24
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Determine the arithmetic mean of the numbers 14, 22, and 36.

### Answer:
