Finding the Third Proportional to 6,784 and 12,736

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784 : 12,736 = 12,736 : x
2. Step 2: Convert to fraction form
   6,784/12,736 = 12,736/x
3. Step 3: Cross multiply
   6,784x = 12,736 × 12,736
4. Step 4: Simplify right side
   6,784x = 162,205,696
5. Step 5: Solve for x
   x = 162,205,696/6,784
6. Step 6: Final answer
   x = 23,910.04