Finding the Third Proportional to 8,128 and 17,743

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128 : 17,743 = 17,743 : x
2. Step 2: Convert to fraction form
   8,128/17,743 = 17,743/x
3. Step 3: Cross multiply
   8,128x = 17,743 × 17,743
4. Step 4: Simplify right side
   8,128x = 314,814,049
5. Step 5: Solve for x
   x = 314,814,049/8,128
6. Step 6: Final answer
   x = 38,732.04