Finding the Third Proportional to 711.91 and 1,046.04

Step by Step Solution

1. Step 1: Write the proportion equation
   711.91 : 1,046.04 = 1,046.04 : x
2. Step 2: Convert to fraction form
   711.91/1,046.04 = 1,046.04/x
3. Step 3: Cross multiply
   711.91x = 1,046.04 × 1,046.04
4. Step 4: Simplify right side
   711.91x = 1,094,197.72
5. Step 5: Solve for x
   x = 1,094,197.72/711.91
6. Step 6: Final answer
   x = 1,536.98