Finding the Third Proportional to 2,028.09 and 4,496.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.09 : 4,496.48 = 4,496.48 : x
2. Step 2: Convert to fraction form
   2,028.09/4,496.48 = 4,496.48/x
3. Step 3: Cross multiply
   2,028.09x = 4,496.48 × 4,496.48
4. Step 4: Simplify right side
   2,028.09x = 20,218,371.73
5. Step 5: Solve for x
   x = 20,218,371.73/2,028.09
6. Step 6: Final answer
   x = 9,969.15