Finding the Third Proportional to 2,578.50 and 5,442.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 5,442.19 = 5,442.19 : x
2. Step 2: Convert to fraction form
   2,578.50/5,442.19 = 5,442.19/x
3. Step 3: Cross multiply
   2,578.50x = 5,442.19 × 5,442.19
4. Step 4: Simplify right side
   2,578.50x = 29,617,404.79
5. Step 5: Solve for x
   x = 29,617,404.79/2,578.50
6. Step 6: Final answer
   x = 11,486.29