Finding the Third Proportional to 12,416 and 28,496

Step by Step Solution

1. Step 1: Write the proportion equation
   12,416 : 28,496 = 28,496 : x
2. Step 2: Convert to fraction form
   12,416/28,496 = 28,496/x
3. Step 3: Cross multiply
   12,416x = 28,496 × 28,496
4. Step 4: Simplify right side
   12,416x = 812,022,016
5. Step 5: Solve for x
   x = 812,022,016/12,416
6. Step 6: Final answer
   x = 65,401.26