Finding the Third Proportional to 9,965 and 13,474

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965 : 13,474 = 13,474 : x
2. Step 2: Convert to fraction form
   9,965/13,474 = 13,474/x
3. Step 3: Cross multiply
   9,965x = 13,474 × 13,474
4. Step 4: Simplify right side
   9,965x = 181,548,676
5. Step 5: Solve for x
   x = 181,548,676/9,965
6. Step 6: Final answer
   x = 18,218.63