Finding the Third Proportional to 16,189 and 34,682

Step by Step Solution

1. Step 1: Write the proportion equation
   16,189 : 34,682 = 34,682 : x
2. Step 2: Convert to fraction form
   16,189/34,682 = 34,682/x
3. Step 3: Cross multiply
   16,189x = 34,682 × 34,682
4. Step 4: Simplify right side
   16,189x = 1,202,841,124
5. Step 5: Solve for x
   x = 1,202,841,124/16,189
6. Step 6: Final answer
   x = 74,299.90