Finding the Third Proportional to 2,592.84 and 3,997.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.84 : 3,997.27 = 3,997.27 : x
2. Step 2: Convert to fraction form
   2,592.84/3,997.27 = 3,997.27/x
3. Step 3: Cross multiply
   2,592.84x = 3,997.27 × 3,997.27
4. Step 4: Simplify right side
   2,592.84x = 15,978,132.48
5. Step 5: Solve for x
   x = 15,978,132.48/2,592.84
6. Step 6: Final answer
   x = 6,162.40