Finding the Third Proportional to 11,627 and 23,872

Step by Step Solution

1. Step 1: Write the proportion equation
   11,627 : 23,872 = 23,872 : x
2. Step 2: Convert to fraction form
   11,627/23,872 = 23,872/x
3. Step 3: Cross multiply
   11,627x = 23,872 × 23,872
4. Step 4: Simplify right side
   11,627x = 569,872,384
5. Step 5: Solve for x
   x = 569,872,384/11,627
6. Step 6: Final answer
   x = 49,012.85