Finding the Third Proportional to 17,872 and 23,499

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872 : 23,499 = 23,499 : x
2. Step 2: Convert to fraction form
   17,872/23,499 = 23,499/x
3. Step 3: Cross multiply
   17,872x = 23,499 × 23,499
4. Step 4: Simplify right side
   17,872x = 552,203,001
5. Step 5: Solve for x
   x = 552,203,001/17,872
6. Step 6: Final answer
   x = 30,897.66