Finding the Third Proportional to 35,562.50 and 77,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,562.50 : 77,685.50 = 77,685.50 : x
2. Step 2: Convert to fraction form
   35,562.50/77,685.50 = 77,685.50/x
3. Step 3: Cross multiply
   35,562.50x = 77,685.50 × 77,685.50
4. Step 4: Simplify right side
   35,562.50x = 6,035,036,910.25
5. Step 5: Solve for x
   x = 6,035,036,910.25/35,562.50
6. Step 6: Final answer
   x = 169,702.27