Finding the Third Proportional to 24,516 and 52,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,516 : 52,920.50 = 52,920.50 : x
2. Step 2: Convert to fraction form
   24,516/52,920.50 = 52,920.50/x
3. Step 3: Cross multiply
   24,516x = 52,920.50 × 52,920.50
4. Step 4: Simplify right side
   24,516x = 2,800,579,320.25
5. Step 5: Solve for x
   x = 2,800,579,320.25/24,516
6. Step 6: Final answer
   x = 114,234.76