Finding the Third Proportional to 16,080 and 23,544

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 23,544 = 23,544 : x
2. Step 2: Convert to fraction form
   16,080/23,544 = 23,544/x
3. Step 3: Cross multiply
   16,080x = 23,544 × 23,544
4. Step 4: Simplify right side
   16,080x = 554,319,936
5. Step 5: Solve for x
   x = 554,319,936/16,080
6. Step 6: Final answer
   x = 34,472.63