Finding the Third Proportional to 3,744 and 10,128

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744 : 10,128 = 10,128 : x
2. Step 2: Convert to fraction form
   3,744/10,128 = 10,128/x
3. Step 3: Cross multiply
   3,744x = 10,128 × 10,128
4. Step 4: Simplify right side
   3,744x = 102,576,384
5. Step 5: Solve for x
   x = 102,576,384/3,744
6. Step 6: Final answer
   x = 27,397.54