Finding the Third Proportional to 12,180 and 13,395

Step by Step Solution

1. Step 1: Write the proportion equation
   12,180 : 13,395 = 13,395 : x
2. Step 2: Convert to fraction form
   12,180/13,395 = 13,395/x
3. Step 3: Cross multiply
   12,180x = 13,395 × 13,395
4. Step 4: Simplify right side
   12,180x = 179,426,025
5. Step 5: Solve for x
   x = 179,426,025/12,180
6. Step 6: Final answer
   x = 14,731.20