Finding the Third Proportional to 2,560 and 5,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560 : 5,583.50 = 5,583.50 : x
2. Step 2: Convert to fraction form
   2,560/5,583.50 = 5,583.50/x
3. Step 3: Cross multiply
   2,560x = 5,583.50 × 5,583.50
4. Step 4: Simplify right side
   2,560x = 31,175,472.25
5. Step 5: Solve for x
   x = 31,175,472.25/2,560
6. Step 6: Final answer
   x = 12,177.92