Finding the Third Proportional to 35,730 and 77,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 77,737.50 = 77,737.50 : x
2. Step 2: Convert to fraction form
   35,730/77,737.50 = 77,737.50/x
3. Step 3: Cross multiply
   35,730x = 77,737.50 × 77,737.50
4. Step 4: Simplify right side
   35,730x = 6,043,118,906.25
5. Step 5: Solve for x
   x = 6,043,118,906.25/35,730
6. Step 6: Final answer
   x = 169,132.91