Finding the Third Proportional to 24,320 and 52,096

Step by Step Solution

1. Step 1: Write the proportion equation
   24,320 : 52,096 = 52,096 : x
2. Step 2: Convert to fraction form
   24,320/52,096 = 52,096/x
3. Step 3: Cross multiply
   24,320x = 52,096 × 52,096
4. Step 4: Simplify right side
   24,320x = 2,713,993,216
5. Step 5: Solve for x
   x = 2,713,993,216/24,320
6. Step 6: Final answer
   x = 111,595.12