Finding the Third Proportional to 2,519.86 and 5,340.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519.86 : 5,340.30 = 5,340.30 : x
2. Step 2: Convert to fraction form
   2,519.86/5,340.30 = 5,340.30/x
3. Step 3: Cross multiply
   2,519.86x = 5,340.30 × 5,340.30
4. Step 4: Simplify right side
   2,519.86x = 28,518,854.16
5. Step 5: Solve for x
   x = 28,518,854.16/2,519.86
6. Step 6: Final answer
   x = 11,317.64