Finding the Third Proportional to 997.50 and 2,022

Step by Step Solution

1. Step 1: Write the proportion equation
   997.50 : 2,022 = 2,022 : x
2. Step 2: Convert to fraction form
   997.50/2,022 = 2,022/x
3. Step 3: Cross multiply
   997.50x = 2,022 × 2,022
4. Step 4: Simplify right side
   997.50x = 4,088,484
5. Step 5: Solve for x
   x = 4,088,484/997.50
6. Step 6: Final answer
   x = 4,098.73