Finding the Third Proportional to 23,144 and 34,204

Step by Step Solution

1. Step 1: Write the proportion equation
   23,144 : 34,204 = 34,204 : x
2. Step 2: Convert to fraction form
   23,144/34,204 = 34,204/x
3. Step 3: Cross multiply
   23,144x = 34,204 × 34,204
4. Step 4: Simplify right side
   23,144x = 1,169,913,616
5. Step 5: Solve for x
   x = 1,169,913,616/23,144
6. Step 6: Final answer
   x = 50,549.33