Finding the Third Proportional to 414 and 1,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   414 : 1,002.38 = 1,002.38 : x
2. Step 2: Convert to fraction form
   414/1,002.38 = 1,002.38/x
3. Step 3: Cross multiply
   414x = 1,002.38 × 1,002.38
4. Step 4: Simplify right side
   414x = 1,004,755.64
5. Step 5: Solve for x
   x = 1,004,755.64/414
6. Step 6: Final answer
   x = 2,426.95