Finding the Third Proportional to 2,571.43 and 4,127.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.43 : 4,127.86 = 4,127.86 : x
2. Step 2: Convert to fraction form
   2,571.43/4,127.86 = 4,127.86/x
3. Step 3: Cross multiply
   2,571.43x = 4,127.86 × 4,127.86
4. Step 4: Simplify right side
   2,571.43x = 17,039,192.79
5. Step 5: Solve for x
   x = 17,039,192.79/2,571.43
6. Step 6: Final answer
   x = 6,626.34