Finding the Third Proportional to 6,834 and 10,451

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834 : 10,451 = 10,451 : x
2. Step 2: Convert to fraction form
   6,834/10,451 = 10,451/x
3. Step 3: Cross multiply
   6,834x = 10,451 × 10,451
4. Step 4: Simplify right side
   6,834x = 109,223,401
5. Step 5: Solve for x
   x = 109,223,401/6,834
6. Step 6: Final answer
   x = 15,982.35