Finding the Third Proportional to 2,562.61 and 5,518.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.61 : 5,518.27 = 5,518.27 : x
2. Step 2: Convert to fraction form
   2,562.61/5,518.27 = 5,518.27/x
3. Step 3: Cross multiply
   2,562.61x = 5,518.27 × 5,518.27
4. Step 4: Simplify right side
   2,562.61x = 30,451,255.51
5. Step 5: Solve for x
   x = 30,451,255.51/2,562.61
6. Step 6: Final answer
   x = 11,882.91