Finding the Third Proportional to 10,872 and 17,965

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872 : 17,965 = 17,965 : x
2. Step 2: Convert to fraction form
   10,872/17,965 = 17,965/x
3. Step 3: Cross multiply
   10,872x = 17,965 × 17,965
4. Step 4: Simplify right side
   10,872x = 322,741,225
5. Step 5: Solve for x
   x = 322,741,225/10,872
6. Step 6: Final answer
   x = 29,685.54