Finding the Third Proportional to 20,216 and 41,256

Step by Step Solution

1. Step 1: Write the proportion equation
   20,216 : 41,256 = 41,256 : x
2. Step 2: Convert to fraction form
   20,216/41,256 = 41,256/x
3. Step 3: Cross multiply
   20,216x = 41,256 × 41,256
4. Step 4: Simplify right side
   20,216x = 1,702,057,536
5. Step 5: Solve for x
   x = 1,702,057,536/20,216
6. Step 6: Final answer
   x = 84,193.59