Finding the Third Proportional to 11,284 and 18,546

Step by Step Solution

1. Step 1: Write the proportion equation
   11,284 : 18,546 = 18,546 : x
2. Step 2: Convert to fraction form
   11,284/18,546 = 18,546/x
3. Step 3: Cross multiply
   11,284x = 18,546 × 18,546
4. Step 4: Simplify right side
   11,284x = 343,954,116
5. Step 5: Solve for x
   x = 343,954,116/11,284
6. Step 6: Final answer
   x = 30,481.58