Finding the Third Proportional to 33,520 and 73,682

Step by Step Solution

1. Step 1: Write the proportion equation
   33,520 : 73,682 = 73,682 : x
2. Step 2: Convert to fraction form
   33,520/73,682 = 73,682/x
3. Step 3: Cross multiply
   33,520x = 73,682 × 73,682
4. Step 4: Simplify right side
   33,520x = 5,429,037,124
5. Step 5: Solve for x
   x = 5,429,037,124/33,520
6. Step 6: Final answer
   x = 161,964.11