Finding the Third Proportional to 16,182 and 33,746

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 33,746 = 33,746 : x
2. Step 2: Convert to fraction form
   16,182/33,746 = 33,746/x
3. Step 3: Cross multiply
   16,182x = 33,746 × 33,746
4. Step 4: Simplify right side
   16,182x = 1,138,792,516
5. Step 5: Solve for x
   x = 1,138,792,516/16,182
6. Step 6: Final answer
   x = 70,374.03