Finding the Third Proportional to 23,838 and 35,016

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 35,016 = 35,016 : x
2. Step 2: Convert to fraction form
   23,838/35,016 = 35,016/x
3. Step 3: Cross multiply
   23,838x = 35,016 × 35,016
4. Step 4: Simplify right side
   23,838x = 1,226,120,256
5. Step 5: Solve for x
   x = 1,226,120,256/23,838
6. Step 6: Final answer
   x = 51,435.53