Finding the Third Proportional to 16,835 and 23,605

Step by Step Solution

1. Step 1: Write the proportion equation
   16,835 : 23,605 = 23,605 : x
2. Step 2: Convert to fraction form
   16,835/23,605 = 23,605/x
3. Step 3: Cross multiply
   16,835x = 23,605 × 23,605
4. Step 4: Simplify right side
   16,835x = 557,196,025
5. Step 5: Solve for x
   x = 557,196,025/16,835
6. Step 6: Final answer
   x = 33,097.48