Finding the Third Proportional to 12,580 and 16,834

Step by Step Solution

1. Step 1: Write the proportion equation
   12,580 : 16,834 = 16,834 : x
2. Step 2: Convert to fraction form
   12,580/16,834 = 16,834/x
3. Step 3: Cross multiply
   12,580x = 16,834 × 16,834
4. Step 4: Simplify right side
   12,580x = 283,383,556
5. Step 5: Solve for x
   x = 283,383,556/12,580
6. Step 6: Final answer
   x = 22,526.51