Finding the Third Proportional to 54,414.50 and 77,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   54,414.50 : 77,022.75 = 77,022.75 : x
2. Step 2: Convert to fraction form
   54,414.50/77,022.75 = 77,022.75/x
3. Step 3: Cross multiply
   54,414.50x = 77,022.75 × 77,022.75
4. Step 4: Simplify right side
   54,414.50x = 5,932,504,017.56
5. Step 5: Solve for x
   x = 5,932,504,017.56/54,414.50
6. Step 6: Final answer
   x = 109,024.32