Finding the Third Proportional to 1,067.50 and 1,448

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.50 : 1,448 = 1,448 : x
2. Step 2: Convert to fraction form
   1,067.50/1,448 = 1,448/x
3. Step 3: Cross multiply
   1,067.50x = 1,448 × 1,448
4. Step 4: Simplify right side
   1,067.50x = 2,096,704
5. Step 5: Solve for x
   x = 2,096,704/1,067.50
6. Step 6: Final answer
   x = 1,964.13