Finding the Third Proportional to 23,138 and 53,993

Step by Step Solution

1. Step 1: Write the proportion equation
   23,138 : 53,993 = 53,993 : x
2. Step 2: Convert to fraction form
   23,138/53,993 = 53,993/x
3. Step 3: Cross multiply
   23,138x = 53,993 × 53,993
4. Step 4: Simplify right side
   23,138x = 2,915,244,049
5. Step 5: Solve for x
   x = 2,915,244,049/23,138
6. Step 6: Final answer
   x = 125,993.78