Finding the Third Proportional to 9,834 and 13,257

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 13,257 = 13,257 : x
2. Step 2: Convert to fraction form
   9,834/13,257 = 13,257/x
3. Step 3: Cross multiply
   9,834x = 13,257 × 13,257
4. Step 4: Simplify right side
   9,834x = 175,748,049
5. Step 5: Solve for x
   x = 175,748,049/9,834
6. Step 6: Final answer
   x = 17,871.47