Finding the Third Proportional to 9,816 and 12,165

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816 : 12,165 = 12,165 : x
2. Step 2: Convert to fraction form
   9,816/12,165 = 12,165/x
3. Step 3: Cross multiply
   9,816x = 12,165 × 12,165
4. Step 4: Simplify right side
   9,816x = 147,987,225
5. Step 5: Solve for x
   x = 147,987,225/9,816
6. Step 6: Final answer
   x = 15,076.12