Finding the Third Proportional to 2,269.75 and 3,566.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.75 : 3,566.63 = 3,566.63 : x
2. Step 2: Convert to fraction form
   2,269.75/3,566.63 = 3,566.63/x
3. Step 3: Cross multiply
   2,269.75x = 3,566.63 × 3,566.63
4. Step 4: Simplify right side
   2,269.75x = 12,720,813.89
5. Step 5: Solve for x
   x = 12,720,813.89/2,269.75
6. Step 6: Final answer
   x = 5,604.50