Finding the Third Proportional to 31,992 and 74,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,992 : 74,737.50 = 74,737.50 : x
2. Step 2: Convert to fraction form
   31,992/74,737.50 = 74,737.50/x
3. Step 3: Cross multiply
   31,992x = 74,737.50 × 74,737.50
4. Step 4: Simplify right side
   31,992x = 5,585,693,906.25
5. Step 5: Solve for x
   x = 5,585,693,906.25/31,992
6. Step 6: Final answer
   x = 174,596.58