Finding the Third Proportional to 11,688 and 24,456

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 24,456 = 24,456 : x
2. Step 2: Convert to fraction form
   11,688/24,456 = 24,456/x
3. Step 3: Cross multiply
   11,688x = 24,456 × 24,456
4. Step 4: Simplify right side
   11,688x = 598,095,936
5. Step 5: Solve for x
   x = 598,095,936/11,688
6. Step 6: Final answer
   x = 51,171.79