Finding the Third Proportional to 1,446.61 and 2,403.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.61 : 2,403.42 = 2,403.42 : x
2. Step 2: Convert to fraction form
   1,446.61/2,403.42 = 2,403.42/x
3. Step 3: Cross multiply
   1,446.61x = 2,403.42 × 2,403.42
4. Step 4: Simplify right side
   1,446.61x = 5,776,436.71
5. Step 5: Solve for x
   x = 5,776,436.71/1,446.61
6. Step 6: Final answer
   x = 3,993.09