Finding the Third Proportional to 33,664 and 73,404

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 73,404 = 73,404 : x
2. Step 2: Convert to fraction form
   33,664/73,404 = 73,404/x
3. Step 3: Cross multiply
   33,664x = 73,404 × 73,404
4. Step 4: Simplify right side
   33,664x = 5,388,147,216
5. Step 5: Solve for x
   x = 5,388,147,216/33,664
6. Step 6: Final answer
   x = 160,056.65