Finding the Third Proportional to 1,067.50 and 1,189

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.50 : 1,189 = 1,189 : x
2. Step 2: Convert to fraction form
   1,067.50/1,189 = 1,189/x
3. Step 3: Cross multiply
   1,067.50x = 1,189 × 1,189
4. Step 4: Simplify right side
   1,067.50x = 1,413,721
5. Step 5: Solve for x
   x = 1,413,721/1,067.50
6. Step 6: Final answer
   x = 1,324.33