Finding the Third Proportional to 2,002.38 and 4,204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.38 : 4,204.56 = 4,204.56 : x
2. Step 2: Convert to fraction form
   2,002.38/4,204.56 = 4,204.56/x
3. Step 3: Cross multiply
   2,002.38x = 4,204.56 × 4,204.56
4. Step 4: Simplify right side
   2,002.38x = 17,678,362.24
5. Step 5: Solve for x
   x = 17,678,362.24/2,002.38
6. Step 6: Final answer
   x = 8,828.69