Finding the Third Proportional to 23,823 and 34,993

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 34,993 = 34,993 : x
2. Step 2: Convert to fraction form
   23,823/34,993 = 34,993/x
3. Step 3: Cross multiply
   23,823x = 34,993 × 34,993
4. Step 4: Simplify right side
   23,823x = 1,224,510,049
5. Step 5: Solve for x
   x = 1,224,510,049/23,823
6. Step 6: Final answer
   x = 51,400.33