Finding the Third Proportional to 2,016.14 and 4,433.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.14 : 4,433.80 = 4,433.80 : x
2. Step 2: Convert to fraction form
   2,016.14/4,433.80 = 4,433.80/x
3. Step 3: Cross multiply
   2,016.14x = 4,433.80 × 4,433.80
4. Step 4: Simplify right side
   2,016.14x = 19,658,589.37
5. Step 5: Solve for x
   x = 19,658,589.37/2,016.14
6. Step 6: Final answer
   x = 9,750.60