Finding the Third Proportional to 2,593.27 and 6,238.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.27 : 6,238.27 = 6,238.27 : x
2. Step 2: Convert to fraction form
   2,593.27/6,238.27 = 6,238.27/x
3. Step 3: Cross multiply
   2,593.27x = 6,238.27 × 6,238.27
4. Step 4: Simplify right side
   2,593.27x = 38,915,958.01
5. Step 5: Solve for x
   x = 38,915,958.01/2,593.27
6. Step 6: Final answer
   x = 15,006.55