Finding the Third Proportional to 11,644 and 17,965

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 17,965 = 17,965 : x
2. Step 2: Convert to fraction form
   11,644/17,965 = 17,965/x
3. Step 3: Cross multiply
   11,644x = 17,965 × 17,965
4. Step 4: Simplify right side
   11,644x = 322,741,225
5. Step 5: Solve for x
   x = 322,741,225/11,644
6. Step 6: Final answer
   x = 27,717.38