Finding the Third Proportional to 10,496 and 22,716

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 22,716 = 22,716 : x
2. Step 2: Convert to fraction form
   10,496/22,716 = 22,716/x
3. Step 3: Cross multiply
   10,496x = 22,716 × 22,716
4. Step 4: Simplify right side
   10,496x = 516,016,656
5. Step 5: Solve for x
   x = 516,016,656/10,496
6. Step 6: Final answer
   x = 49,163.17