Finding the Third Proportional to 2,582.44 and 5,317.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.44 : 5,317.78 = 5,317.78 : x
2. Step 2: Convert to fraction form
   2,582.44/5,317.78 = 5,317.78/x
3. Step 3: Cross multiply
   2,582.44x = 5,317.78 × 5,317.78
4. Step 4: Simplify right side
   2,582.44x = 28,278,797.42
5. Step 5: Solve for x
   x = 28,278,797.42/2,582.44
6. Step 6: Final answer
   x = 10,950.43