Finding the Third Proportional to 33,682 and 73,280

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 73,280 = 73,280 : x
2. Step 2: Convert to fraction form
   33,682/73,280 = 73,280/x
3. Step 3: Cross multiply
   33,682x = 73,280 × 73,280
4. Step 4: Simplify right side
   33,682x = 5,369,958,400
5. Step 5: Solve for x
   x = 5,369,958,400/33,682
6. Step 6: Final answer
   x = 159,431.10