Finding the Third Proportional to 6,327 and 13,182

Step by Step Solution

1. Step 1: Write the proportion equation
   6,327 : 13,182 = 13,182 : x
2. Step 2: Convert to fraction form
   6,327/13,182 = 13,182/x
3. Step 3: Cross multiply
   6,327x = 13,182 × 13,182
4. Step 4: Simplify right side
   6,327x = 173,765,124
5. Step 5: Solve for x
   x = 173,765,124/6,327
6. Step 6: Final answer
   x = 27,464.06