Finding the Third Proportional to 2,584.55 and 5,472.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.55 : 5,472.42 = 5,472.42 : x
2. Step 2: Convert to fraction form
   2,584.55/5,472.42 = 5,472.42/x
3. Step 3: Cross multiply
   2,584.55x = 5,472.42 × 5,472.42
4. Step 4: Simplify right side
   2,584.55x = 29,947,401.18
5. Step 5: Solve for x
   x = 29,947,401.18/2,584.55
6. Step 6: Final answer
   x = 11,587.10