Finding the Third Proportional to 676.41 and 1,036.27

Step by Step Solution

1. Step 1: Write the proportion equation
   676.41 : 1,036.27 = 1,036.27 : x
2. Step 2: Convert to fraction form
   676.41/1,036.27 = 1,036.27/x
3. Step 3: Cross multiply
   676.41x = 1,036.27 × 1,036.27
4. Step 4: Simplify right side
   676.41x = 1,073,846.45
5. Step 5: Solve for x
   x = 1,073,846.45/676.41
6. Step 6: Final answer
   x = 1,587.58