Finding the Third Proportional to 676.13 and 1,009.69

Step by Step Solution

1. Step 1: Write the proportion equation
   676.13 : 1,009.69 = 1,009.69 : x
2. Step 2: Convert to fraction form
   676.13/1,009.69 = 1,009.69/x
3. Step 3: Cross multiply
   676.13x = 1,009.69 × 1,009.69
4. Step 4: Simplify right side
   676.13x = 1,019,468.85
5. Step 5: Solve for x
   x = 1,019,468.85/676.13
6. Step 6: Final answer
   x = 1,507.81