Finding the Third Proportional to 16,197 and 23,675

Step by Step Solution

1. Step 1: Write the proportion equation
   16,197 : 23,675 = 23,675 : x
2. Step 2: Convert to fraction form
   16,197/23,675 = 23,675/x
3. Step 3: Cross multiply
   16,197x = 23,675 × 23,675
4. Step 4: Simplify right side
   16,197x = 560,505,625
5. Step 5: Solve for x
   x = 560,505,625/16,197
6. Step 6: Final answer
   x = 34,605.52