Finding the Third Proportional to 9,706 and 17,252

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706 : 17,252 = 17,252 : x
2. Step 2: Convert to fraction form
   9,706/17,252 = 17,252/x
3. Step 3: Cross multiply
   9,706x = 17,252 × 17,252
4. Step 4: Simplify right side
   9,706x = 297,631,504
5. Step 5: Solve for x
   x = 297,631,504/9,706
6. Step 6: Final answer
   x = 30,664.69