Finding the Third Proportional to 587.81 and 1,284.56

Step by Step Solution

1. Step 1: Write the proportion equation
   587.81 : 1,284.56 = 1,284.56 : x
2. Step 2: Convert to fraction form
   587.81/1,284.56 = 1,284.56/x
3. Step 3: Cross multiply
   587.81x = 1,284.56 × 1,284.56
4. Step 4: Simplify right side
   587.81x = 1,650,100.82
5. Step 5: Solve for x
   x = 1,650,100.82/587.81
6. Step 6: Final answer
   x = 2,807.19