Finding the Third Proportional to 11,146 and 13,504

Step by Step Solution

1. Step 1: Write the proportion equation
   11,146 : 13,504 = 13,504 : x
2. Step 2: Convert to fraction form
   11,146/13,504 = 13,504/x
3. Step 3: Cross multiply
   11,146x = 13,504 × 13,504
4. Step 4: Simplify right side
   11,146x = 182,358,016
5. Step 5: Solve for x
   x = 182,358,016/11,146
6. Step 6: Final answer
   x = 16,360.85