Finding the Third Proportional to 1,022 and 2,014

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022 : 2,014 = 2,014 : x
2. Step 2: Convert to fraction form
   1,022/2,014 = 2,014/x
3. Step 3: Cross multiply
   1,022x = 2,014 × 2,014
4. Step 4: Simplify right side
   1,022x = 4,056,196
5. Step 5: Solve for x
   x = 4,056,196/1,022
6. Step 6: Final answer
   x = 3,968.88