Finding the Third Proportional to 24,114 and 52,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,114 : 52,510.50 = 52,510.50 : x
2. Step 2: Convert to fraction form
   24,114/52,510.50 = 52,510.50/x
3. Step 3: Cross multiply
   24,114x = 52,510.50 × 52,510.50
4. Step 4: Simplify right side
   24,114x = 2,757,352,610.25
5. Step 5: Solve for x
   x = 2,757,352,610.25/24,114
6. Step 6: Final answer
   x = 114,346.55