Finding the Third Proportional to 6,814 and 10,419

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814 : 10,419 = 10,419 : x
2. Step 2: Convert to fraction form
   6,814/10,419 = 10,419/x
3. Step 3: Cross multiply
   6,814x = 10,419 × 10,419
4. Step 4: Simplify right side
   6,814x = 108,555,561
5. Step 5: Solve for x
   x = 108,555,561/6,814
6. Step 6: Final answer
   x = 15,931.25