Finding the Third Proportional to 11,184 and 17,608

Step by Step Solution

1. Step 1: Write the proportion equation
   11,184 : 17,608 = 17,608 : x
2. Step 2: Convert to fraction form
   11,184/17,608 = 17,608/x
3. Step 3: Cross multiply
   11,184x = 17,608 × 17,608
4. Step 4: Simplify right side
   11,184x = 310,041,664
5. Step 5: Solve for x
   x = 310,041,664/11,184
6. Step 6: Final answer
   x = 27,721.89