Finding the Third Proportional to 23,823 and 35,020

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 35,020 = 35,020 : x
2. Step 2: Convert to fraction form
   23,823/35,020 = 35,020/x
3. Step 3: Cross multiply
   23,823x = 35,020 × 35,020
4. Step 4: Simplify right side
   23,823x = 1,226,400,400
5. Step 5: Solve for x
   x = 1,226,400,400/23,823
6. Step 6: Final answer
   x = 51,479.68