Finding the Third Proportional to 9,857 and 13,323

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857 : 13,323 = 13,323 : x
2. Step 2: Convert to fraction form
   9,857/13,323 = 13,323/x
3. Step 3: Cross multiply
   9,857x = 13,323 × 13,323
4. Step 4: Simplify right side
   9,857x = 177,502,329
5. Step 5: Solve for x
   x = 177,502,329/9,857
6. Step 6: Final answer
   x = 18,007.74