Finding the Third Proportional to 2,593.27 and 3,424.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.27 : 3,424.78 = 3,424.78 : x
2. Step 2: Convert to fraction form
   2,593.27/3,424.78 = 3,424.78/x
3. Step 3: Cross multiply
   2,593.27x = 3,424.78 × 3,424.78
4. Step 4: Simplify right side
   2,593.27x = 11,729,126.61
5. Step 5: Solve for x
   x = 11,729,126.61/2,593.27
6. Step 6: Final answer
   x = 4,522.92