Finding the Third Proportional to 3,744 and 5,735.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744 : 5,735.25 = 5,735.25 : x
2. Step 2: Convert to fraction form
   3,744/5,735.25 = 5,735.25/x
3. Step 3: Cross multiply
   3,744x = 5,735.25 × 5,735.25
4. Step 4: Simplify right side
   3,744x = 32,893,092.56
5. Step 5: Solve for x
   x = 32,893,092.56/3,744
6. Step 6: Final answer
   x = 8,785.55