Finding the Third Proportional to 712.69 and 1,093.88

Step by Step Solution

1. Step 1: Write the proportion equation
   712.69 : 1,093.88 = 1,093.88 : x
2. Step 2: Convert to fraction form
   712.69/1,093.88 = 1,093.88/x
3. Step 3: Cross multiply
   712.69x = 1,093.88 × 1,093.88
4. Step 4: Simplify right side
   712.69x = 1,196,562.52
5. Step 5: Solve for x
   x = 1,196,562.52/712.69
6. Step 6: Final answer
   x = 1,678.94