Finding the Third Proportional to 6,874 and 10,291

Step by Step Solution

1. Step 1: Write the proportion equation
   6,874 : 10,291 = 10,291 : x
2. Step 2: Convert to fraction form
   6,874/10,291 = 10,291/x
3. Step 3: Cross multiply
   6,874x = 10,291 × 10,291
4. Step 4: Simplify right side
   6,874x = 105,904,681
5. Step 5: Solve for x
   x = 105,904,681/6,874
6. Step 6: Final answer
   x = 15,406.56