Finding the Third Proportional to 6,474 and 10,743

Step by Step Solution

1. Step 1: Write the proportion equation
   6,474 : 10,743 = 10,743 : x
2. Step 2: Convert to fraction form
   6,474/10,743 = 10,743/x
3. Step 3: Cross multiply
   6,474x = 10,743 × 10,743
4. Step 4: Simplify right side
   6,474x = 115,412,049
5. Step 5: Solve for x
   x = 115,412,049/6,474
6. Step 6: Final answer
   x = 17,827.01