Finding the Third Proportional to 11,636 and 25,204

Step by Step Solution

1. Step 1: Write the proportion equation
   11,636 : 25,204 = 25,204 : x
2. Step 2: Convert to fraction form
   11,636/25,204 = 25,204/x
3. Step 3: Cross multiply
   11,636x = 25,204 × 25,204
4. Step 4: Simplify right side
   11,636x = 635,241,616
5. Step 5: Solve for x
   x = 635,241,616/11,636
6. Step 6: Final answer
   x = 54,592.78