Finding the Third Proportional to 9,002 and 12,795

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 12,795 = 12,795 : x
2. Step 2: Convert to fraction form
   9,002/12,795 = 12,795/x
3. Step 3: Cross multiply
   9,002x = 12,795 × 12,795
4. Step 4: Simplify right side
   9,002x = 163,712,025
5. Step 5: Solve for x
   x = 163,712,025/9,002
6. Step 6: Final answer
   x = 18,186.18