Finding the Third Proportional to 10,678 and 17,058

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 17,058 = 17,058 : x
2. Step 2: Convert to fraction form
   10,678/17,058 = 17,058/x
3. Step 3: Cross multiply
   10,678x = 17,058 × 17,058
4. Step 4: Simplify right side
   10,678x = 290,975,364
5. Step 5: Solve for x
   x = 290,975,364/10,678
6. Step 6: Final answer
   x = 27,249.99