Finding the Third Proportional to 54,413 and 77,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,413 : 77,063.50 = 77,063.50 : x
2. Step 2: Convert to fraction form
   54,413/77,063.50 = 77,063.50/x
3. Step 3: Cross multiply
   54,413x = 77,063.50 × 77,063.50
4. Step 4: Simplify right side
   54,413x = 5,938,783,032.25
5. Step 5: Solve for x
   x = 5,938,783,032.25/54,413
6. Step 6: Final answer
   x = 109,142.72