Finding the Third Proportional to 10,767 and 23,609

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767 : 23,609 = 23,609 : x
2. Step 2: Convert to fraction form
   10,767/23,609 = 23,609/x
3. Step 3: Cross multiply
   10,767x = 23,609 × 23,609
4. Step 4: Simplify right side
   10,767x = 557,384,881
5. Step 5: Solve for x
   x = 557,384,881/10,767
6. Step 6: Final answer
   x = 51,767.89