Finding the Third Proportional to 23,858 and 52,144

Step by Step Solution

1. Step 1: Write the proportion equation
   23,858 : 52,144 = 52,144 : x
2. Step 2: Convert to fraction form
   23,858/52,144 = 52,144/x
3. Step 3: Cross multiply
   23,858x = 52,144 × 52,144
4. Step 4: Simplify right side
   23,858x = 2,718,996,736
5. Step 5: Solve for x
   x = 2,718,996,736/23,858
6. Step 6: Final answer
   x = 113,965.83