Finding the Third Proportional to 11,116 and 17,204

Step by Step Solution

1. Step 1: Write the proportion equation
   11,116 : 17,204 = 17,204 : x
2. Step 2: Convert to fraction form
   11,116/17,204 = 17,204/x
3. Step 3: Cross multiply
   11,116x = 17,204 × 17,204
4. Step 4: Simplify right side
   11,116x = 295,977,616
5. Step 5: Solve for x
   x = 295,977,616/11,116
6. Step 6: Final answer
   x = 26,626.27