Finding the Third Proportional to 23,838 and 35,631

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 35,631 = 35,631 : x
2. Step 2: Convert to fraction form
   23,838/35,631 = 35,631/x
3. Step 3: Cross multiply
   23,838x = 35,631 × 35,631
4. Step 4: Simplify right side
   23,838x = 1,269,568,161
5. Step 5: Solve for x
   x = 1,269,568,161/23,838
6. Step 6: Final answer
   x = 53,258.17