Finding the Third Proportional to 8,002 and 10,291

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 10,291 = 10,291 : x
2. Step 2: Convert to fraction form
   8,002/10,291 = 10,291/x
3. Step 3: Cross multiply
   8,002x = 10,291 × 10,291
4. Step 4: Simplify right side
   8,002x = 105,904,681
5. Step 5: Solve for x
   x = 105,904,681/8,002
6. Step 6: Final answer
   x = 13,234.78