Finding the Third Proportional to 4,177.31 and 5,674.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,177.31 : 5,674.69 = 5,674.69 : x
2. Step 2: Convert to fraction form
   4,177.31/5,674.69 = 5,674.69/x
3. Step 3: Cross multiply
   4,177.31x = 5,674.69 × 5,674.69
4. Step 4: Simplify right side
   4,177.31x = 32,202,078.22
5. Step 5: Solve for x
   x = 32,202,078.22/4,177.31
6. Step 6: Final answer
   x = 7,708.80