Finding the Third Proportional to 11,688 and 18,824

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 18,824 = 18,824 : x
2. Step 2: Convert to fraction form
   11,688/18,824 = 18,824/x
3. Step 3: Cross multiply
   11,688x = 18,824 × 18,824
4. Step 4: Simplify right side
   11,688x = 354,342,976
5. Step 5: Solve for x
   x = 354,342,976/11,688
6. Step 6: Final answer
   x = 30,316.82