Finding the Third Proportional to 864.42 and 1,297.27

Step by Step Solution

1. Step 1: Write the proportion equation
   864.42 : 1,297.27 = 1,297.27 : x
2. Step 2: Convert to fraction form
   864.42/1,297.27 = 1,297.27/x
3. Step 3: Cross multiply
   864.42x = 1,297.27 × 1,297.27
4. Step 4: Simplify right side
   864.42x = 1,682,898.10
5. Step 5: Solve for x
   x = 1,682,898.10/864.42
6. Step 6: Final answer
   x = 1,946.85