Finding the Third Proportional to 706.78 and 1,067.91

Step by Step Solution

1. Step 1: Write the proportion equation
   706.78 : 1,067.91 = 1,067.91 : x
2. Step 2: Convert to fraction form
   706.78/1,067.91 = 1,067.91/x
3. Step 3: Cross multiply
   706.78x = 1,067.91 × 1,067.91
4. Step 4: Simplify right side
   706.78x = 1,140,423.76
5. Step 5: Solve for x
   x = 1,140,423.76/706.78
6. Step 6: Final answer
   x = 1,613.55