Finding the Third Proportional to 20,406 and 41,676

Step by Step Solution

1. Step 1: Write the proportion equation
   20,406 : 41,676 = 41,676 : x
2. Step 2: Convert to fraction form
   20,406/41,676 = 41,676/x
3. Step 3: Cross multiply
   20,406x = 41,676 × 41,676
4. Step 4: Simplify right side
   20,406x = 1,736,888,976
5. Step 5: Solve for x
   x = 1,736,888,976/20,406
6. Step 6: Final answer
   x = 85,116.58