Finding the Third Proportional to 10,256 and 22,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 22,496 = 22,496 : x
2. Step 2: Convert to fraction form
   10,256/22,496 = 22,496/x
3. Step 3: Cross multiply
   10,256x = 22,496 × 22,496
4. Step 4: Simplify right side
   10,256x = 506,070,016
5. Step 5: Solve for x
   x = 506,070,016/10,256
6. Step 6: Final answer
   x = 49,343.80