Finding the Third Proportional to 6,144 and 13,080

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 13,080 = 13,080 : x
2. Step 2: Convert to fraction form
   6,144/13,080 = 13,080/x
3. Step 3: Cross multiply
   6,144x = 13,080 × 13,080
4. Step 4: Simplify right side
   6,144x = 171,086,400
5. Step 5: Solve for x
   x = 171,086,400/6,144
6. Step 6: Final answer
   x = 27,846.09