Finding the Third Proportional to 54,377 and 76,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,377 : 76,575.50 = 76,575.50 : x
2. Step 2: Convert to fraction form
   54,377/76,575.50 = 76,575.50/x
3. Step 3: Cross multiply
   54,377x = 76,575.50 × 76,575.50
4. Step 4: Simplify right side
   54,377x = 5,863,807,200.25
5. Step 5: Solve for x
   x = 5,863,807,200.25/54,377
6. Step 6: Final answer
   x = 107,836.17