Finding the Third Proportional to 2,022 and 2,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022 : 2,839.50 = 2,839.50 : x
2. Step 2: Convert to fraction form
   2,022/2,839.50 = 2,839.50/x
3. Step 3: Cross multiply
   2,022x = 2,839.50 × 2,839.50
4. Step 4: Simplify right side
   2,022x = 8,062,760.25
5. Step 5: Solve for x
   x = 8,062,760.25/2,022
6. Step 6: Final answer
   x = 3,987.52