Finding the Third Proportional to 6,568 and 13,748

Step by Step Solution

1. Step 1: Write the proportion equation
   6,568 : 13,748 = 13,748 : x
2. Step 2: Convert to fraction form
   6,568/13,748 = 13,748/x
3. Step 3: Cross multiply
   6,568x = 13,748 × 13,748
4. Step 4: Simplify right side
   6,568x = 189,007,504
5. Step 5: Solve for x
   x = 189,007,504/6,568
6. Step 6: Final answer
   x = 28,777.03