Finding the Third Proportional to 3,639.75 and 5,527.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,639.75 : 5,527.31 = 5,527.31 : x
2. Step 2: Convert to fraction form
   3,639.75/5,527.31 = 5,527.31/x
3. Step 3: Cross multiply
   3,639.75x = 5,527.31 × 5,527.31
4. Step 4: Simplify right side
   3,639.75x = 30,551,183.47
5. Step 5: Solve for x
   x = 30,551,183.47/3,639.75
6. Step 6: Final answer
   x = 8,393.76