In problems involving the maximum product of two positive numbers you should remember this concept: that for you to be able to get the maximum product of the numbers, it should be that both are of the same magnitude or in simple terms, they are equal.
so for the problem, the sum of the numbers is 92. for the two numbers to be equal, we just have to divide the number to 2 so,
92/2 = 46
therefore the numbers are 46 and 46
moving further by getting the maximum product, you will have,
46(46) = 2,116 
then you'll have 2,116 as the maximum product