Finding the Third Proportional to 31,135.50 and 42,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,135.50 : 42,457.50 = 42,457.50 : x
2. Step 2: Convert to fraction form
   31,135.50/42,457.50 = 42,457.50/x
3. Step 3: Cross multiply
   31,135.50x = 42,457.50 × 42,457.50
4. Step 4: Simplify right side
   31,135.50x = 1,802,639,306.25
5. Step 5: Solve for x
   x = 1,802,639,306.25/31,135.50
6. Step 6: Final answer
   x = 57,896.59