Finding the Third Proportional to 21,892 and 33,684

Step by Step Solution

1. Step 1: Write the proportion equation
   21,892 : 33,684 = 33,684 : x
2. Step 2: Convert to fraction form
   21,892/33,684 = 33,684/x
3. Step 3: Cross multiply
   21,892x = 33,684 × 33,684
4. Step 4: Simplify right side
   21,892x = 1,134,611,856
5. Step 5: Solve for x
   x = 1,134,611,856/21,892
6. Step 6: Final answer
   x = 51,827.69