Finding the Third Proportional to 1,549.97 and 2,403.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.97 : 2,403.42 = 2,403.42 : x
2. Step 2: Convert to fraction form
   1,549.97/2,403.42 = 2,403.42/x
3. Step 3: Cross multiply
   1,549.97x = 2,403.42 × 2,403.42
4. Step 4: Simplify right side
   1,549.97x = 5,776,436.71
5. Step 5: Solve for x
   x = 5,776,436.71/1,549.97
6. Step 6: Final answer
   x = 3,726.81