Finding the Third Proportional to 54,627 and 74,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,627 : 74,761.50 = 74,761.50 : x
2. Step 2: Convert to fraction form
   54,627/74,761.50 = 74,761.50/x
3. Step 3: Cross multiply
   54,627x = 74,761.50 × 74,761.50
4. Step 4: Simplify right side
   54,627x = 5,589,281,882.25
5. Step 5: Solve for x
   x = 5,589,281,882.25/54,627
6. Step 6: Final answer
   x = 102,317.20