Finding the Third Proportional to 2,578.50 and 5,114.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 5,114.81 = 5,114.81 : x
2. Step 2: Convert to fraction form
   2,578.50/5,114.81 = 5,114.81/x
3. Step 3: Cross multiply
   2,578.50x = 5,114.81 × 5,114.81
4. Step 4: Simplify right side
   2,578.50x = 26,161,306.91
5. Step 5: Solve for x
   x = 26,161,306.91/2,578.50
6. Step 6: Final answer
   x = 10,145.94