Finding the Third Proportional to 1,446.61 and 1,920.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.61 : 1,920.27 = 1,920.27 : x
2. Step 2: Convert to fraction form
   1,446.61/1,920.27 = 1,920.27/x
3. Step 3: Cross multiply
   1,446.61x = 1,920.27 × 1,920.27
4. Step 4: Simplify right side
   1,446.61x = 3,687,435.07
5. Step 5: Solve for x
   x = 3,687,435.07/1,446.61
6. Step 6: Final answer
   x = 2,549.02