Finding the Third Proportional to 21,892 and 47,456

Step by Step Solution

1. Step 1: Write the proportion equation
   21,892 : 47,456 = 47,456 : x
2. Step 2: Convert to fraction form
   21,892/47,456 = 47,456/x
3. Step 3: Cross multiply
   21,892x = 47,456 × 47,456
4. Step 4: Simplify right side
   21,892x = 2,252,071,936
5. Step 5: Solve for x
   x = 2,252,071,936/21,892
6. Step 6: Final answer
   x = 102,871.91