Finding the Third Proportional to 22,516 and 52,124

Step by Step Solution

1. Step 1: Write the proportion equation
   22,516 : 52,124 = 52,124 : x
2. Step 2: Convert to fraction form
   22,516/52,124 = 52,124/x
3. Step 3: Cross multiply
   22,516x = 52,124 × 52,124
4. Step 4: Simplify right side
   22,516x = 2,716,911,376
5. Step 5: Solve for x
   x = 2,716,911,376/22,516
6. Step 6: Final answer
   x = 120,665.81