Finding the Third Proportional to 8,002 and 10,707

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 10,707 = 10,707 : x
2. Step 2: Convert to fraction form
   8,002/10,707 = 10,707/x
3. Step 3: Cross multiply
   8,002x = 10,707 × 10,707
4. Step 4: Simplify right side
   8,002x = 114,639,849
5. Step 5: Solve for x
   x = 114,639,849/8,002
6. Step 6: Final answer
   x = 14,326.40