Finding the Third Proportional to 9,646 and 17,006

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646 : 17,006 = 17,006 : x
2. Step 2: Convert to fraction form
   9,646/17,006 = 17,006/x
3. Step 3: Cross multiply
   9,646x = 17,006 × 17,006
4. Step 4: Simplify right side
   9,646x = 289,204,036
5. Step 5: Solve for x
   x = 289,204,036/9,646
6. Step 6: Final answer
   x = 29,981.76