Finding the Third Proportional to 9,688 and 12,660

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 12,660 = 12,660 : x
2. Step 2: Convert to fraction form
   9,688/12,660 = 12,660/x
3. Step 3: Cross multiply
   9,688x = 12,660 × 12,660
4. Step 4: Simplify right side
   9,688x = 160,275,600
5. Step 5: Solve for x
   x = 160,275,600/9,688
6. Step 6: Final answer
   x = 16,543.72