Finding the Third Proportional to 16,134 and 34,204

Step by Step Solution

1. Step 1: Write the proportion equation
   16,134 : 34,204 = 34,204 : x
2. Step 2: Convert to fraction form
   16,134/34,204 = 34,204/x
3. Step 3: Cross multiply
   16,134x = 34,204 × 34,204
4. Step 4: Simplify right side
   16,134x = 1,169,913,616
5. Step 5: Solve for x
   x = 1,169,913,616/16,134
6. Step 6: Final answer
   x = 72,512.31