Finding the Third Proportional to 2,269.69 and 3,613.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.69 : 3,613.78 = 3,613.78 : x
2. Step 2: Convert to fraction form
   2,269.69/3,613.78 = 3,613.78/x
3. Step 3: Cross multiply
   2,269.69x = 3,613.78 × 3,613.78
4. Step 4: Simplify right side
   2,269.69x = 13,059,414.92
5. Step 5: Solve for x
   x = 13,059,414.92/2,269.69
6. Step 6: Final answer
   x = 5,753.84