Finding the Third Proportional to 1,446.43 and 2,032.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.43 : 2,032.69 = 2,032.69 : x
2. Step 2: Convert to fraction form
   1,446.43/2,032.69 = 2,032.69/x
3. Step 3: Cross multiply
   1,446.43x = 2,032.69 × 2,032.69
4. Step 4: Simplify right side
   1,446.43x = 4,131,839.32
5. Step 5: Solve for x
   x = 4,131,839.32/1,446.43
6. Step 6: Final answer
   x = 2,856.57