Finding the Third Proportional to 12,000 and 12,864

Step by Step Solution

1. Step 1: Write the proportion equation
   12,000 : 12,864 = 12,864 : x
2. Step 2: Convert to fraction form
   12,000/12,864 = 12,864/x
3. Step 3: Cross multiply
   12,000x = 12,864 × 12,864
4. Step 4: Simplify right side
   12,000x = 165,482,496
5. Step 5: Solve for x
   x = 165,482,496/12,000
6. Step 6: Final answer
   x = 13,790.21