Finding the Third Proportional to 20,256 and 41,504

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 41,504 = 41,504 : x
2. Step 2: Convert to fraction form
   20,256/41,504 = 41,504/x
3. Step 3: Cross multiply
   20,256x = 41,504 × 41,504
4. Step 4: Simplify right side
   20,256x = 1,722,582,016
5. Step 5: Solve for x
   x = 1,722,582,016/20,256
6. Step 6: Final answer
   x = 85,040.58