Finding the Third Proportional to 6,844 and 13,436

Step by Step Solution

1. Step 1: Write the proportion equation
   6,844 : 13,436 = 13,436 : x
2. Step 2: Convert to fraction form
   6,844/13,436 = 13,436/x
3. Step 3: Cross multiply
   6,844x = 13,436 × 13,436
4. Step 4: Simplify right side
   6,844x = 180,526,096
5. Step 5: Solve for x
   x = 180,526,096/6,844
6. Step 6: Final answer
   x = 26,377.28