Finding the Third Proportional to 2,580.75 and 5,563.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.75 : 5,563.13 = 5,563.13 : x
2. Step 2: Convert to fraction form
   2,580.75/5,563.13 = 5,563.13/x
3. Step 3: Cross multiply
   2,580.75x = 5,563.13 × 5,563.13
4. Step 4: Simplify right side
   2,580.75x = 30,948,359.77
5. Step 5: Solve for x
   x = 30,948,359.77/2,580.75
6. Step 6: Final answer
   x = 11,992.00