Finding the Third Proportional to 6,180 and 12,852

Step by Step Solution

1. Step 1: Write the proportion equation
   6,180 : 12,852 = 12,852 : x
2. Step 2: Convert to fraction form
   6,180/12,852 = 12,852/x
3. Step 3: Cross multiply
   6,180x = 12,852 × 12,852
4. Step 4: Simplify right side
   6,180x = 165,173,904
5. Step 5: Solve for x
   x = 165,173,904/6,180
6. Step 6: Final answer
   x = 26,727.17