Finding the Third Proportional to 3,179.25 and 4,561.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,179.25 : 4,561.31 = 4,561.31 : x
2. Step 2: Convert to fraction form
   3,179.25/4,561.31 = 4,561.31/x
3. Step 3: Cross multiply
   3,179.25x = 4,561.31 × 4,561.31
4. Step 4: Simplify right side
   3,179.25x = 20,805,571.72
5. Step 5: Solve for x
   x = 20,805,571.72/3,179.25
6. Step 6: Final answer
   x = 6,544.18