Finding the Third Proportional to 682.01 and 1,028.72

Step by Step Solution

1. Step 1: Write the proportion equation
   682.01 : 1,028.72 = 1,028.72 : x
2. Step 2: Convert to fraction form
   682.01/1,028.72 = 1,028.72/x
3. Step 3: Cross multiply
   682.01x = 1,028.72 × 1,028.72
4. Step 4: Simplify right side
   682.01x = 1,058,256.24
5. Step 5: Solve for x
   x = 1,058,256.24/682.01
6. Step 6: Final answer
   x = 1,551.66