Finding the Third Proportional to 10,691 and 22,834

Step by Step Solution

1. Step 1: Write the proportion equation
   10,691 : 22,834 = 22,834 : x
2. Step 2: Convert to fraction form
   10,691/22,834 = 22,834/x
3. Step 3: Cross multiply
   10,691x = 22,834 × 22,834
4. Step 4: Simplify right side
   10,691x = 521,391,556
5. Step 5: Solve for x
   x = 521,391,556/10,691
6. Step 6: Final answer
   x = 48,769.20