Finding the Third Proportional to 6,778 and 13,172

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778 : 13,172 = 13,172 : x
2. Step 2: Convert to fraction form
   6,778/13,172 = 13,172/x
3. Step 3: Cross multiply
   6,778x = 13,172 × 13,172
4. Step 4: Simplify right side
   6,778x = 173,501,584
5. Step 5: Solve for x
   x = 173,501,584/6,778
6. Step 6: Final answer
   x = 25,597.76