Finding the Third Proportional to 2,258.50 and 4,022

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.50 : 4,022 = 4,022 : x
2. Step 2: Convert to fraction form
   2,258.50/4,022 = 4,022/x
3. Step 3: Cross multiply
   2,258.50x = 4,022 × 4,022
4. Step 4: Simplify right side
   2,258.50x = 16,176,484
5. Step 5: Solve for x
   x = 16,176,484/2,258.50
6. Step 6: Final answer
   x = 7,162.49