Finding the Third Proportional to 16,182 and 34,291

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 34,291 = 34,291 : x
2. Step 2: Convert to fraction form
   16,182/34,291 = 34,291/x
3. Step 3: Cross multiply
   16,182x = 34,291 × 34,291
4. Step 4: Simplify right side
   16,182x = 1,175,872,681
5. Step 5: Solve for x
   x = 1,175,872,681/16,182
6. Step 6: Final answer
   x = 72,665.47