Finding the Third Proportional to 9,847 and 13,266

Step by Step Solution

1. Step 1: Write the proportion equation
   9,847 : 13,266 = 13,266 : x
2. Step 2: Convert to fraction form
   9,847/13,266 = 13,266/x
3. Step 3: Cross multiply
   9,847x = 13,266 × 13,266
4. Step 4: Simplify right side
   9,847x = 175,986,756
5. Step 5: Solve for x
   x = 175,986,756/9,847
6. Step 6: Final answer
   x = 17,872.12