Finding the Third Proportional to 1,665 and 2,398.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665 : 2,398.38 = 2,398.38 : x
2. Step 2: Convert to fraction form
   1,665/2,398.38 = 2,398.38/x
3. Step 3: Cross multiply
   1,665x = 2,398.38 × 2,398.38
4. Step 4: Simplify right side
   1,665x = 5,752,202.64
5. Step 5: Solve for x
   x = 5,752,202.64/1,665
6. Step 6: Final answer
   x = 3,454.78