Finding the Third Proportional to 11,636 and 25,336

Step by Step Solution

1. Step 1: Write the proportion equation
   11,636 : 25,336 = 25,336 : x
2. Step 2: Convert to fraction form
   11,636/25,336 = 25,336/x
3. Step 3: Cross multiply
   11,636x = 25,336 × 25,336
4. Step 4: Simplify right side
   11,636x = 641,912,896
5. Step 5: Solve for x
   x = 641,912,896/11,636
6. Step 6: Final answer
   x = 55,166.11