Finding the Third Proportional to 10,040 and 12,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040 : 12,864 = 12,864 : x
2. Step 2: Convert to fraction form
   10,040/12,864 = 12,864/x
3. Step 3: Cross multiply
   10,040x = 12,864 × 12,864
4. Step 4: Simplify right side
   10,040x = 165,482,496
5. Step 5: Solve for x
   x = 165,482,496/10,040
6. Step 6: Final answer
   x = 16,482.32