Finding the Third Proportional to 23,843 and 52,356

Step by Step Solution

1. Step 1: Write the proportion equation
   23,843 : 52,356 = 52,356 : x
2. Step 2: Convert to fraction form
   23,843/52,356 = 52,356/x
3. Step 3: Cross multiply
   23,843x = 52,356 × 52,356
4. Step 4: Simplify right side
   23,843x = 2,741,150,736
5. Step 5: Solve for x
   x = 2,741,150,736/23,843
6. Step 6: Final answer
   x = 114,966.69