Finding the Third Proportional to 10,650 and 22,516

Step by Step Solution

1. Step 1: Write the proportion equation
   10,650 : 22,516 = 22,516 : x
2. Step 2: Convert to fraction form
   10,650/22,516 = 22,516/x
3. Step 3: Cross multiply
   10,650x = 22,516 × 22,516
4. Step 4: Simplify right side
   10,650x = 506,970,256
5. Step 5: Solve for x
   x = 506,970,256/10,650
6. Step 6: Final answer
   x = 47,602.84