Finding the Third Proportional to 16,185 and 34,311

Step by Step Solution

1. Step 1: Write the proportion equation
   16,185 : 34,311 = 34,311 : x
2. Step 2: Convert to fraction form
   16,185/34,311 = 34,311/x
3. Step 3: Cross multiply
   16,185x = 34,311 × 34,311
4. Step 4: Simplify right side
   16,185x = 1,177,244,721
5. Step 5: Solve for x
   x = 1,177,244,721/16,185
6. Step 6: Final answer
   x = 72,736.78