Finding the Third Proportional to 2,016.14 and 4,408.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.14 : 4,408.17 = 4,408.17 : x
2. Step 2: Convert to fraction form
   2,016.14/4,408.17 = 4,408.17/x
3. Step 3: Cross multiply
   2,016.14x = 4,408.17 × 4,408.17
4. Step 4: Simplify right side
   2,016.14x = 19,431,979.28
5. Step 5: Solve for x
   x = 19,431,979.28/2,016.14
6. Step 6: Final answer
   x = 9,638.21