Finding the Third Proportional to 32,925.50 and 77,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,925.50 : 77,691.50 = 77,691.50 : x
2. Step 2: Convert to fraction form
   32,925.50/77,691.50 = 77,691.50/x
3. Step 3: Cross multiply
   32,925.50x = 77,691.50 × 77,691.50
4. Step 4: Simplify right side
   32,925.50x = 6,035,969,172.25
5. Step 5: Solve for x
   x = 6,035,969,172.25/32,925.50
6. Step 6: Final answer
   x = 183,322.02