Finding the Third Proportional to 35,737.50 and 76,221.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,737.50 : 76,221.75 = 76,221.75 : x
2. Step 2: Convert to fraction form
   35,737.50/76,221.75 = 76,221.75/x
3. Step 3: Cross multiply
   35,737.50x = 76,221.75 × 76,221.75
4. Step 4: Simplify right side
   35,737.50x = 5,809,755,173.06
5. Step 5: Solve for x
   x = 5,809,755,173.06/35,737.50
6. Step 6: Final answer
   x = 162,567.48