Finding the Third Proportional to 9,708 and 13,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,708 : 13,164 = 13,164 : x
2. Step 2: Convert to fraction form
   9,708/13,164 = 13,164/x
3. Step 3: Cross multiply
   9,708x = 13,164 × 13,164
4. Step 4: Simplify right side
   9,708x = 173,290,896
5. Step 5: Solve for x
   x = 173,290,896/9,708
6. Step 6: Final answer
   x = 17,850.32