Finding the Third Proportional to 2,562.75 and 5,516.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 5,516.58 = 5,516.58 : x
2. Step 2: Convert to fraction form
   2,562.75/5,516.58 = 5,516.58/x
3. Step 3: Cross multiply
   2,562.75x = 5,516.58 × 5,516.58
4. Step 4: Simplify right side
   2,562.75x = 30,432,634.21
5. Step 5: Solve for x
   x = 30,432,634.21/2,562.75
6. Step 6: Final answer
   x = 11,874.99