Finding the Third Proportional to 11,264 and 18,684

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 18,684 = 18,684 : x
2. Step 2: Convert to fraction form
   11,264/18,684 = 18,684/x
3. Step 3: Cross multiply
   11,264x = 18,684 × 18,684
4. Step 4: Simplify right side
   11,264x = 349,091,856
5. Step 5: Solve for x
   x = 349,091,856/11,264
6. Step 6: Final answer
   x = 30,991.82