Finding the Third Proportional to 705.38 and 1,067.34

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 1,067.34 = 1,067.34 : x
2. Step 2: Convert to fraction form
   705.38/1,067.34 = 1,067.34/x
3. Step 3: Cross multiply
   705.38x = 1,067.34 × 1,067.34
4. Step 4: Simplify right side
   705.38x = 1,139,222.68
5. Step 5: Solve for x
   x = 1,139,222.68/705.38
6. Step 6: Final answer
   x = 1,615.06