Finding the Third Proportional to 2,259.56 and 3,594.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.56 : 3,594.56 = 3,594.56 : x
2. Step 2: Convert to fraction form
   2,259.56/3,594.56 = 3,594.56/x
3. Step 3: Cross multiply
   2,259.56x = 3,594.56 × 3,594.56
4. Step 4: Simplify right side
   2,259.56x = 12,920,879.57
5. Step 5: Solve for x
   x = 12,920,879.57/2,259.56
6. Step 6: Final answer
   x = 5,718.31