Finding the Third Proportional to 6,744 and 17,688

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 17,688 = 17,688 : x
2. Step 2: Convert to fraction form
   6,744/17,688 = 17,688/x
3. Step 3: Cross multiply
   6,744x = 17,688 × 17,688
4. Step 4: Simplify right side
   6,744x = 312,865,344
5. Step 5: Solve for x
   x = 312,865,344/6,744
6. Step 6: Final answer
   x = 46,391.66