Finding the Third Proportional to 2,581.88 and 5,516.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.88 : 5,516.86 = 5,516.86 : x
2. Step 2: Convert to fraction form
   2,581.88/5,516.86 = 5,516.86/x
3. Step 3: Cross multiply
   2,581.88x = 5,516.86 × 5,516.86
4. Step 4: Simplify right side
   2,581.88x = 30,435,737.36
5. Step 5: Solve for x
   x = 30,435,737.36/2,581.88
6. Step 6: Final answer
   x = 11,788.23