Finding the Third Proportional to 20,408 and 41,680

Step by Step Solution

1. Step 1: Write the proportion equation
   20,408 : 41,680 = 41,680 : x
2. Step 2: Convert to fraction form
   20,408/41,680 = 41,680/x
3. Step 3: Cross multiply
   20,408x = 41,680 × 41,680
4. Step 4: Simplify right side
   20,408x = 1,737,222,400
5. Step 5: Solve for x
   x = 1,737,222,400/20,408
6. Step 6: Final answer
   x = 85,124.58