Finding the Third Proportional to 9,222 and 13,857

Step by Step Solution

1. Step 1: Write the proportion equation
   9,222 : 13,857 = 13,857 : x
2. Step 2: Convert to fraction form
   9,222/13,857 = 13,857/x
3. Step 3: Cross multiply
   9,222x = 13,857 × 13,857
4. Step 4: Simplify right side
   9,222x = 192,016,449
5. Step 5: Solve for x
   x = 192,016,449/9,222
6. Step 6: Final answer
   x = 20,821.56