Finding the Third Proportional to 10,665 and 22,872

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 22,872 = 22,872 : x
2. Step 2: Convert to fraction form
   10,665/22,872 = 22,872/x
3. Step 3: Cross multiply
   10,665x = 22,872 × 22,872
4. Step 4: Simplify right side
   10,665x = 523,128,384
5. Step 5: Solve for x
   x = 523,128,384/10,665
6. Step 6: Final answer
   x = 49,050.95