Finding the Third Proportional to 6,774 and 13,164

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774 : 13,164 = 13,164 : x
2. Step 2: Convert to fraction form
   6,774/13,164 = 13,164/x
3. Step 3: Cross multiply
   6,774x = 13,164 × 13,164
4. Step 4: Simplify right side
   6,774x = 173,290,896
5. Step 5: Solve for x
   x = 173,290,896/6,774
6. Step 6: Final answer
   x = 25,581.77