Finding the Third Proportional to 10,276 and 17,734

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276 : 17,734 = 17,734 : x
2. Step 2: Convert to fraction form
   10,276/17,734 = 17,734/x
3. Step 3: Cross multiply
   10,276x = 17,734 × 17,734
4. Step 4: Simplify right side
   10,276x = 314,494,756
5. Step 5: Solve for x
   x = 314,494,756/10,276
6. Step 6: Final answer
   x = 30,604.78