Finding the Third Proportional to 8,404 and 17,170

Step by Step Solution

1. Step 1: Write the proportion equation
   8,404 : 17,170 = 17,170 : x
2. Step 2: Convert to fraction form
   8,404/17,170 = 17,170/x
3. Step 3: Cross multiply
   8,404x = 17,170 × 17,170
4. Step 4: Simplify right side
   8,404x = 294,808,900
5. Step 5: Solve for x
   x = 294,808,900/8,404
6. Step 6: Final answer
   x = 35,079.59