Finding the Third Proportional to 16,180 and 33,742

Step by Step Solution

1. Step 1: Write the proportion equation
   16,180 : 33,742 = 33,742 : x
2. Step 2: Convert to fraction form
   16,180/33,742 = 33,742/x
3. Step 3: Cross multiply
   16,180x = 33,742 × 33,742
4. Step 4: Simplify right side
   16,180x = 1,138,522,564
5. Step 5: Solve for x
   x = 1,138,522,564/16,180
6. Step 6: Final answer
   x = 70,366.04