Finding the Third Proportional to 8,586 and 17,406

Step by Step Solution

1. Step 1: Write the proportion equation
   8,586 : 17,406 = 17,406 : x
2. Step 2: Convert to fraction form
   8,586/17,406 = 17,406/x
3. Step 3: Cross multiply
   8,586x = 17,406 × 17,406
4. Step 4: Simplify right side
   8,586x = 302,968,836
5. Step 5: Solve for x
   x = 302,968,836/8,586
6. Step 6: Final answer
   x = 35,286.38