Finding the Third Proportional to 16,182 and 34,699

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 34,699 = 34,699 : x
2. Step 2: Convert to fraction form
   16,182/34,699 = 34,699/x
3. Step 3: Cross multiply
   16,182x = 34,699 × 34,699
4. Step 4: Simplify right side
   16,182x = 1,204,020,601
5. Step 5: Solve for x
   x = 1,204,020,601/16,182
6. Step 6: Final answer
   x = 74,404.93