Finding the Third Proportional to 2,571.50 and 3,851

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.50 : 3,851 = 3,851 : x
2. Step 2: Convert to fraction form
   2,571.50/3,851 = 3,851/x
3. Step 3: Cross multiply
   2,571.50x = 3,851 × 3,851
4. Step 4: Simplify right side
   2,571.50x = 14,830,201
5. Step 5: Solve for x
   x = 14,830,201/2,571.50
6. Step 6: Final answer
   x = 5,767.14