Finding the Third Proportional to 9,606 and 16,185

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606 : 16,185 = 16,185 : x
2. Step 2: Convert to fraction form
   9,606/16,185 = 16,185/x
3. Step 3: Cross multiply
   9,606x = 16,185 × 16,185
4. Step 4: Simplify right side
   9,606x = 261,954,225
5. Step 5: Solve for x
   x = 261,954,225/9,606
6. Step 6: Final answer
   x = 27,269.85