Finding the Third Proportional to 13,806 and 21,872

Step by Step Solution

1. Step 1: Write the proportion equation
   13,806 : 21,872 = 21,872 : x
2. Step 2: Convert to fraction form
   13,806/21,872 = 21,872/x
3. Step 3: Cross multiply
   13,806x = 21,872 × 21,872
4. Step 4: Simplify right side
   13,806x = 478,384,384
5. Step 5: Solve for x
   x = 478,384,384/13,806
6. Step 6: Final answer
   x = 34,650.47