Finding the Third Proportional to 705.25 and 1,067.38

Step by Step Solution

1. Step 1: Write the proportion equation
   705.25 : 1,067.38 = 1,067.38 : x
2. Step 2: Convert to fraction form
   705.25/1,067.38 = 1,067.38/x
3. Step 3: Cross multiply
   705.25x = 1,067.38 × 1,067.38
4. Step 4: Simplify right side
   705.25x = 1,139,289.39
5. Step 5: Solve for x
   x = 1,139,289.39/705.25
6. Step 6: Final answer
   x = 1,615.44