Finding the Third Proportional to 16,538 and 23,835

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 23,835 = 23,835 : x
2. Step 2: Convert to fraction form
   16,538/23,835 = 23,835/x
3. Step 3: Cross multiply
   16,538x = 23,835 × 23,835
4. Step 4: Simplify right side
   16,538x = 568,107,225
5. Step 5: Solve for x
   x = 568,107,225/16,538
6. Step 6: Final answer
   x = 34,351.63