Finding the Third Proportional to 16,186 and 34,621

Step by Step Solution

1. Step 1: Write the proportion equation
   16,186 : 34,621 = 34,621 : x
2. Step 2: Convert to fraction form
   16,186/34,621 = 34,621/x
3. Step 3: Cross multiply
   16,186x = 34,621 × 34,621
4. Step 4: Simplify right side
   16,186x = 1,198,613,641
5. Step 5: Solve for x
   x = 1,198,613,641/16,186
6. Step 6: Final answer
   x = 74,052.49