Finding the Third Proportional to 2,578.50 and 5,340.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 5,340.38 = 5,340.38 : x
2. Step 2: Convert to fraction form
   2,578.50/5,340.38 = 5,340.38/x
3. Step 3: Cross multiply
   2,578.50x = 5,340.38 × 5,340.38
4. Step 4: Simplify right side
   2,578.50x = 28,519,605.14
5. Step 5: Solve for x
   x = 28,519,605.14/2,578.50
6. Step 6: Final answer
   x = 11,060.54