Finding the Third Proportional to 11,688 and 18,099

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 18,099 = 18,099 : x
2. Step 2: Convert to fraction form
   11,688/18,099 = 18,099/x
3. Step 3: Cross multiply
   11,688x = 18,099 × 18,099
4. Step 4: Simplify right side
   11,688x = 327,573,801
5. Step 5: Solve for x
   x = 327,573,801/11,688
6. Step 6: Final answer
   x = 28,026.51