Finding the Third Proportional to 10,827 and 23,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 23,616 = 23,616 : x
2. Step 2: Convert to fraction form
   10,827/23,616 = 23,616/x
3. Step 3: Cross multiply
   10,827x = 23,616 × 23,616
4. Step 4: Simplify right side
   10,827x = 557,715,456
5. Step 5: Solve for x
   x = 557,715,456/10,827
6. Step 6: Final answer
   x = 51,511.54