Finding the Third Proportional to 24,614 and 54,150

Step by Step Solution

1. Step 1: Write the proportion equation
   24,614 : 54,150 = 54,150 : x
2. Step 2: Convert to fraction form
   24,614/54,150 = 54,150/x
3. Step 3: Cross multiply
   24,614x = 54,150 × 54,150
4. Step 4: Simplify right side
   24,614x = 2,932,222,500
5. Step 5: Solve for x
   x = 2,932,222,500/24,614
6. Step 6: Final answer
   x = 119,128.24