Finding the Third Proportional to 31,992.50 and 74,764

Step by Step Solution

1. Step 1: Write the proportion equation
   31,992.50 : 74,764 = 74,764 : x
2. Step 2: Convert to fraction form
   31,992.50/74,764 = 74,764/x
3. Step 3: Cross multiply
   31,992.50x = 74,764 × 74,764
4. Step 4: Simplify right side
   31,992.50x = 5,589,655,696
5. Step 5: Solve for x
   x = 5,589,655,696/31,992.50
6. Step 6: Final answer
   x = 174,717.69