Finding the Third Proportional to 13,086 and 27,180

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086 : 27,180 = 27,180 : x
2. Step 2: Convert to fraction form
   13,086/27,180 = 27,180/x
3. Step 3: Cross multiply
   13,086x = 27,180 × 27,180
4. Step 4: Simplify right side
   13,086x = 738,752,400
5. Step 5: Solve for x
   x = 738,752,400/13,086
6. Step 6: Final answer
   x = 56,453.65