Finding the Third Proportional to 2,269.27 and 3,565.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.27 : 3,565.90 = 3,565.90 : x
2. Step 2: Convert to fraction form
   2,269.27/3,565.90 = 3,565.90/x
3. Step 3: Cross multiply
   2,269.27x = 3,565.90 × 3,565.90
4. Step 4: Simplify right side
   2,269.27x = 12,715,631.67
5. Step 5: Solve for x
   x = 12,715,631.67/2,269.27
6. Step 6: Final answer
   x = 5,603.41