Finding the Third Proportional to 2,278.38 and 3,569.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,278.38 : 3,569.38 = 3,569.38 : x
2. Step 2: Convert to fraction form
   2,278.38/3,569.38 = 3,569.38/x
3. Step 3: Cross multiply
   2,278.38x = 3,569.38 × 3,569.38
4. Step 4: Simplify right side
   2,278.38x = 12,740,437.89
5. Step 5: Solve for x
   x = 12,740,437.89/2,278.38
6. Step 6: Final answer
   x = 5,591.90