Finding the Third Proportional to 2,002.22 and 4,394.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.22 : 4,394.25 = 4,394.25 : x
2. Step 2: Convert to fraction form
   2,002.22/4,394.25 = 4,394.25/x
3. Step 3: Cross multiply
   2,002.22x = 4,394.25 × 4,394.25
4. Step 4: Simplify right side
   2,002.22x = 19,309,433.06
5. Step 5: Solve for x
   x = 19,309,433.06/2,002.22
6. Step 6: Final answer
   x = 9,644.02