Finding the Third Proportional to 41,132.25 and 89,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,132.25 : 89,635.50 = 89,635.50 : x
2. Step 2: Convert to fraction form
   41,132.25/89,635.50 = 89,635.50/x
3. Step 3: Cross multiply
   41,132.25x = 89,635.50 × 89,635.50
4. Step 4: Simplify right side
   41,132.25x = 8,034,522,860.25
5. Step 5: Solve for x
   x = 8,034,522,860.25/41,132.25
6. Step 6: Final answer
   x = 195,333.90