Finding the Third Proportional to 2,559.19 and 5,581.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.19 : 5,581.59 = 5,581.59 : x
2. Step 2: Convert to fraction form
   2,559.19/5,581.59 = 5,581.59/x
3. Step 3: Cross multiply
   2,559.19x = 5,581.59 × 5,581.59
4. Step 4: Simplify right side
   2,559.19x = 31,154,188.79
5. Step 5: Solve for x
   x = 31,154,188.79/2,559.19
6. Step 6: Final answer
   x = 12,173.47