Finding the Third Proportional to 712.83 and 1,046.39

Step by Step Solution

1. Step 1: Write the proportion equation
   712.83 : 1,046.39 = 1,046.39 : x
2. Step 2: Convert to fraction form
   712.83/1,046.39 = 1,046.39/x
3. Step 3: Cross multiply
   712.83x = 1,046.39 × 1,046.39
4. Step 4: Simplify right side
   712.83x = 1,094,933.34
5. Step 5: Solve for x
   x = 1,094,933.34/712.83
6. Step 6: Final answer
   x = 1,536.04