Finding the Third Proportional to 11,396 and 24,496

Step by Step Solution

1. Step 1: Write the proportion equation
   11,396 : 24,496 = 24,496 : x
2. Step 2: Convert to fraction form
   11,396/24,496 = 24,496/x
3. Step 3: Cross multiply
   11,396x = 24,496 × 24,496
4. Step 4: Simplify right side
   11,396x = 600,054,016
5. Step 5: Solve for x
   x = 600,054,016/11,396
6. Step 6: Final answer
   x = 52,654.79