Finding the Third Proportional to 586.69 and 1,249.31

Step by Step Solution

1. Step 1: Write the proportion equation
   586.69 : 1,249.31 = 1,249.31 : x
2. Step 2: Convert to fraction form
   586.69/1,249.31 = 1,249.31/x
3. Step 3: Cross multiply
   586.69x = 1,249.31 × 1,249.31
4. Step 4: Simplify right side
   586.69x = 1,560,781.72
5. Step 5: Solve for x
   x = 1,560,781.72/586.69
6. Step 6: Final answer
   x = 2,660.33