Finding the Third Proportional to 6,784 and 12,728

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784 : 12,728 = 12,728 : x
2. Step 2: Convert to fraction form
   6,784/12,728 = 12,728/x
3. Step 3: Cross multiply
   6,784x = 12,728 × 12,728
4. Step 4: Simplify right side
   6,784x = 162,001,984
5. Step 5: Solve for x
   x = 162,001,984/6,784
6. Step 6: Final answer
   x = 23,880.01