Finding the Third Proportional to 2,851.49 and 3,814.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.49 : 3,814.28 = 3,814.28 : x
2. Step 2: Convert to fraction form
   2,851.49/3,814.28 = 3,814.28/x
3. Step 3: Cross multiply
   2,851.49x = 3,814.28 × 3,814.28
4. Step 4: Simplify right side
   2,851.49x = 14,548,711.66
5. Step 5: Solve for x
   x = 14,548,711.66/2,851.49
6. Step 6: Final answer
   x = 5,102.15