Finding the Third Proportional to 9,706 and 12,920

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706 : 12,920 = 12,920 : x
2. Step 2: Convert to fraction form
   9,706/12,920 = 12,920/x
3. Step 3: Cross multiply
   9,706x = 12,920 × 12,920
4. Step 4: Simplify right side
   9,706x = 166,926,400
5. Step 5: Solve for x
   x = 166,926,400/9,706
6. Step 6: Final answer
   x = 17,198.27