Finding the Third Proportional to 10,192 and 21,872

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 21,872 = 21,872 : x
2. Step 2: Convert to fraction form
   10,192/21,872 = 21,872/x
3. Step 3: Cross multiply
   10,192x = 21,872 × 21,872
4. Step 4: Simplify right side
   10,192x = 478,384,384
5. Step 5: Solve for x
   x = 478,384,384/10,192
6. Step 6: Final answer
   x = 46,937.24