Finding the Third Proportional to 12,896 and 20,496

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 20,496 = 20,496 : x
2. Step 2: Convert to fraction form
   12,896/20,496 = 20,496/x
3. Step 3: Cross multiply
   12,896x = 20,496 × 20,496
4. Step 4: Simplify right side
   12,896x = 420,086,016
5. Step 5: Solve for x
   x = 420,086,016/12,896
6. Step 6: Final answer
   x = 32,574.91