Finding the Third Proportional to 676.69 and 1,085.06

Step by Step Solution

1. Step 1: Write the proportion equation
   676.69 : 1,085.06 = 1,085.06 : x
2. Step 2: Convert to fraction form
   676.69/1,085.06 = 1,085.06/x
3. Step 3: Cross multiply
   676.69x = 1,085.06 × 1,085.06
4. Step 4: Simplify right side
   676.69x = 1,177,360.63
5. Step 5: Solve for x
   x = 1,177,360.63/676.69
6. Step 6: Final answer
   x = 1,739.89