Finding the Third Proportional to 23,872 and 52,192

Step by Step Solution

1. Step 1: Write the proportion equation
   23,872 : 52,192 = 52,192 : x
2. Step 2: Convert to fraction form
   23,872/52,192 = 52,192/x
3. Step 3: Cross multiply
   23,872x = 52,192 × 52,192
4. Step 4: Simplify right side
   23,872x = 2,724,004,864
5. Step 5: Solve for x
   x = 2,724,004,864/23,872
6. Step 6: Final answer
   x = 114,108.78