Finding the Third Proportional to 33,664 and 73,152

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 73,152 = 73,152 : x
2. Step 2: Convert to fraction form
   33,664/73,152 = 73,152/x
3. Step 3: Cross multiply
   33,664x = 73,152 × 73,152
4. Step 4: Simplify right side
   33,664x = 5,351,215,104
5. Step 5: Solve for x
   x = 5,351,215,104/33,664
6. Step 6: Final answer
   x = 158,959.57