Finding the Third Proportional to 6,836 and 13,144

Step by Step Solution

1. Step 1: Write the proportion equation
   6,836 : 13,144 = 13,144 : x
2. Step 2: Convert to fraction form
   6,836/13,144 = 13,144/x
3. Step 3: Cross multiply
   6,836x = 13,144 × 13,144
4. Step 4: Simplify right side
   6,836x = 172,764,736
5. Step 5: Solve for x
   x = 172,764,736/6,836
6. Step 6: Final answer
   x = 25,272.78