Finding the Third Proportional to 16,769 and 22,834

Step by Step Solution

1. Step 1: Write the proportion equation
   16,769 : 22,834 = 22,834 : x
2. Step 2: Convert to fraction form
   16,769/22,834 = 22,834/x
3. Step 3: Cross multiply
   16,769x = 22,834 × 22,834
4. Step 4: Simplify right side
   16,769x = 521,391,556
5. Step 5: Solve for x
   x = 521,391,556/16,769
6. Step 6: Final answer
   x = 31,092.58