Finding the Third Proportional to 10,165 and 22,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165 : 22,256 = 22,256 : x
2. Step 2: Convert to fraction form
   10,165/22,256 = 22,256/x
3. Step 3: Cross multiply
   10,165x = 22,256 × 22,256
4. Step 4: Simplify right side
   10,165x = 495,329,536
5. Step 5: Solve for x
   x = 495,329,536/10,165
6. Step 6: Final answer
   x = 48,728.93