Finding the Third Proportional to 6,688 and 16,180

Step by Step Solution

1. Step 1: Write the proportion equation
   6,688 : 16,180 = 16,180 : x
2. Step 2: Convert to fraction form
   6,688/16,180 = 16,180/x
3. Step 3: Cross multiply
   6,688x = 16,180 × 16,180
4. Step 4: Simplify right side
   6,688x = 261,792,400
5. Step 5: Solve for x
   x = 261,792,400/6,688
6. Step 6: Final answer
   x = 39,143.60