Finding the Third Proportional to 1,002.38 and 1,488.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,488.38 = 1,488.38 : x
2. Step 2: Convert to fraction form
   1,002.38/1,488.38 = 1,488.38/x
3. Step 3: Cross multiply
   1,002.38x = 1,488.38 × 1,488.38
4. Step 4: Simplify right side
   1,002.38x = 2,215,260.14
5. Step 5: Solve for x
   x = 2,215,260.14/1,002.38
6. Step 6: Final answer
   x = 2,210.01