Finding the Third Proportional to 16,080 and 23,670

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 23,670 = 23,670 : x
2. Step 2: Convert to fraction form
   16,080/23,670 = 23,670/x
3. Step 3: Cross multiply
   16,080x = 23,670 × 23,670
4. Step 4: Simplify right side
   16,080x = 560,268,900
5. Step 5: Solve for x
   x = 560,268,900/16,080
6. Step 6: Final answer
   x = 34,842.59