Finding the Third Proportional to 2,266.59 and 3,559.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,266.59 : 3,559.36 = 3,559.36 : x
2. Step 2: Convert to fraction form
   2,266.59/3,559.36 = 3,559.36/x
3. Step 3: Cross multiply
   2,266.59x = 3,559.36 × 3,559.36
4. Step 4: Simplify right side
   2,266.59x = 12,669,039.16
5. Step 5: Solve for x
   x = 12,669,039.16/2,266.59
6. Step 6: Final answer
   x = 5,589.46