Finding the Third Proportional to 12,800 and 22,864

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800 : 22,864 = 22,864 : x
2. Step 2: Convert to fraction form
   12,800/22,864 = 22,864/x
3. Step 3: Cross multiply
   12,800x = 22,864 × 22,864
4. Step 4: Simplify right side
   12,800x = 522,762,496
5. Step 5: Solve for x
   x = 522,762,496/12,800
6. Step 6: Final answer
   x = 40,840.82