Finding the Third Proportional to 31,762.50 and 67,746

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762.50 : 67,746 = 67,746 : x
2. Step 2: Convert to fraction form
   31,762.50/67,746 = 67,746/x
3. Step 3: Cross multiply
   31,762.50x = 67,746 × 67,746
4. Step 4: Simplify right side
   31,762.50x = 4,589,520,516
5. Step 5: Solve for x
   x = 4,589,520,516/31,762.50
6. Step 6: Final answer
   x = 144,494.94