Finding the Third Proportional to 587.81 and 1,279.69

Step by Step Solution

1. Step 1: Write the proportion equation
   587.81 : 1,279.69 = 1,279.69 : x
2. Step 2: Convert to fraction form
   587.81/1,279.69 = 1,279.69/x
3. Step 3: Cross multiply
   587.81x = 1,279.69 × 1,279.69
4. Step 4: Simplify right side
   587.81x = 1,637,600.10
5. Step 5: Solve for x
   x = 1,637,600.10/587.81
6. Step 6: Final answer
   x = 2,785.92