Finding the Third Proportional to 6,831 and 10,446

Step by Step Solution

1. Step 1: Write the proportion equation
   6,831 : 10,446 = 10,446 : x
2. Step 2: Convert to fraction form
   6,831/10,446 = 10,446/x
3. Step 3: Cross multiply
   6,831x = 10,446 × 10,446
4. Step 4: Simplify right side
   6,831x = 109,118,916
5. Step 5: Solve for x
   x = 109,118,916/6,831
6. Step 6: Final answer
   x = 15,974.08