Finding the Third Proportional to 3,663.75 and 5,743.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663.75 : 5,743.25 = 5,743.25 : x
2. Step 2: Convert to fraction form
   3,663.75/5,743.25 = 5,743.25/x
3. Step 3: Cross multiply
   3,663.75x = 5,743.25 × 5,743.25
4. Step 4: Simplify right side
   3,663.75x = 32,984,920.56
5. Step 5: Solve for x
   x = 32,984,920.56/3,663.75
6. Step 6: Final answer
   x = 9,003.05