Finding the Third Proportional to 587.25 and 871.59

Step by Step Solution

1. Step 1: Write the proportion equation
   587.25 : 871.59 = 871.59 : x
2. Step 2: Convert to fraction form
   587.25/871.59 = 871.59/x
3. Step 3: Cross multiply
   587.25x = 871.59 × 871.59
4. Step 4: Simplify right side
   587.25x = 759,675.67
5. Step 5: Solve for x
   x = 759,675.67/587.25
6. Step 6: Final answer
   x = 1,293.62