Finding the Third Proportional to 23,813 and 52,162

Step by Step Solution

1. Step 1: Write the proportion equation
   23,813 : 52,162 = 52,162 : x
2. Step 2: Convert to fraction form
   23,813/52,162 = 52,162/x
3. Step 3: Cross multiply
   23,813x = 52,162 × 52,162
4. Step 4: Simplify right side
   23,813x = 2,720,874,244
5. Step 5: Solve for x
   x = 2,720,874,244/23,813
6. Step 6: Final answer
   x = 114,260.04