Finding the Third Proportional to 10,896 and 17,277

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 17,277 = 17,277 : x
2. Step 2: Convert to fraction form
   10,896/17,277 = 17,277/x
3. Step 3: Cross multiply
   10,896x = 17,277 × 17,277
4. Step 4: Simplify right side
   10,896x = 298,494,729
5. Step 5: Solve for x
   x = 298,494,729/10,896
6. Step 6: Final answer
   x = 27,394.89