Finding the Third Proportional to 10,909 and 23,561

Step by Step Solution

1. Step 1: Write the proportion equation
   10,909 : 23,561 = 23,561 : x
2. Step 2: Convert to fraction form
   10,909/23,561 = 23,561/x
3. Step 3: Cross multiply
   10,909x = 23,561 × 23,561
4. Step 4: Simplify right side
   10,909x = 555,120,721
5. Step 5: Solve for x
   x = 555,120,721/10,909
6. Step 6: Final answer
   x = 50,886.49