Finding the Third Proportional to 4,180.50 and 5,578.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,180.50 : 5,578.31 = 5,578.31 : x
2. Step 2: Convert to fraction form
   4,180.50/5,578.31 = 5,578.31/x
3. Step 3: Cross multiply
   4,180.50x = 5,578.31 × 5,578.31
4. Step 4: Simplify right side
   4,180.50x = 31,117,570.35
5. Step 5: Solve for x
   x = 31,117,570.35/4,180.50
6. Step 6: Final answer
   x = 7,443.50