Finding the Third Proportional to 23,105 and 35,144

Step by Step Solution

1. Step 1: Write the proportion equation
   23,105 : 35,144 = 35,144 : x
2. Step 2: Convert to fraction form
   23,105/35,144 = 35,144/x
3. Step 3: Cross multiply
   23,105x = 35,144 × 35,144
4. Step 4: Simplify right side
   23,105x = 1,235,100,736
5. Step 5: Solve for x
   x = 1,235,100,736/23,105
6. Step 6: Final answer
   x = 53,455.99