Finding the Third Proportional to 680.27 and 1,017.77

Step by Step Solution

1. Step 1: Write the proportion equation
   680.27 : 1,017.77 = 1,017.77 : x
2. Step 2: Convert to fraction form
   680.27/1,017.77 = 1,017.77/x
3. Step 3: Cross multiply
   680.27x = 1,017.77 × 1,017.77
4. Step 4: Simplify right side
   680.27x = 1,035,862.77
5. Step 5: Solve for x
   x = 1,035,862.77/680.27
6. Step 6: Final answer
   x = 1,522.72