Finding the Third Proportional to 54,382.50 and 76,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   54,382.50 : 76,578.75 = 76,578.75 : x
2. Step 2: Convert to fraction form
   54,382.50/76,578.75 = 76,578.75/x
3. Step 3: Cross multiply
   54,382.50x = 76,578.75 × 76,578.75
4. Step 4: Simplify right side
   54,382.50x = 5,864,304,951.56
5. Step 5: Solve for x
   x = 5,864,304,951.56/54,382.50
6. Step 6: Final answer
   x = 107,834.41