Finding the Third Proportional to 21,204 and 41,872

Step by Step Solution

1. Step 1: Write the proportion equation
   21,204 : 41,872 = 41,872 : x
2. Step 2: Convert to fraction form
   21,204/41,872 = 41,872/x
3. Step 3: Cross multiply
   21,204x = 41,872 × 41,872
4. Step 4: Simplify right side
   21,204x = 1,753,264,384
5. Step 5: Solve for x
   x = 1,753,264,384/21,204
6. Step 6: Final answer
   x = 82,685.55