Finding the Third Proportional to 54,411 and 77,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,411 : 77,020.50 = 77,020.50 : x
2. Step 2: Convert to fraction form
   54,411/77,020.50 = 77,020.50/x
3. Step 3: Cross multiply
   54,411x = 77,020.50 × 77,020.50
4. Step 4: Simplify right side
   54,411x = 5,932,157,420.25
5. Step 5: Solve for x
   x = 5,932,157,420.25/54,411
6. Step 6: Final answer
   x = 109,024.97