Finding the Third Proportional to 24,144 and 50,496

Step by Step Solution

1. Step 1: Write the proportion equation
   24,144 : 50,496 = 50,496 : x
2. Step 2: Convert to fraction form
   24,144/50,496 = 50,496/x
3. Step 3: Cross multiply
   24,144x = 50,496 × 50,496
4. Step 4: Simplify right side
   24,144x = 2,549,846,016
5. Step 5: Solve for x
   x = 2,549,846,016/24,144
6. Step 6: Final answer
   x = 105,609.92