Finding the Third Proportional to 1,648.69 and 2,398.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.69 : 2,398.78 = 2,398.78 : x
2. Step 2: Convert to fraction form
   1,648.69/2,398.78 = 2,398.78/x
3. Step 3: Cross multiply
   1,648.69x = 2,398.78 × 2,398.78
4. Step 4: Simplify right side
   1,648.69x = 5,754,151.49
5. Step 5: Solve for x
   x = 5,754,151.49/1,648.69
6. Step 6: Final answer
   x = 3,490.14