Finding the Third Proportional to 16,080 and 19,644

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 19,644 = 19,644 : x
2. Step 2: Convert to fraction form
   16,080/19,644 = 19,644/x
3. Step 3: Cross multiply
   16,080x = 19,644 × 19,644
4. Step 4: Simplify right side
   16,080x = 385,886,736
5. Step 5: Solve for x
   x = 385,886,736/16,080
6. Step 6: Final answer
   x = 23,997.93