Finding the Third Proportional to 11,696 and 25,496

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696 : 25,496 = 25,496 : x
2. Step 2: Convert to fraction form
   11,696/25,496 = 25,496/x
3. Step 3: Cross multiply
   11,696x = 25,496 × 25,496
4. Step 4: Simplify right side
   11,696x = 650,046,016
5. Step 5: Solve for x
   x = 650,046,016/11,696
6. Step 6: Final answer
   x = 55,578.49