Finding the Third Proportional to 32,664 and 73,320

Step by Step Solution

1. Step 1: Write the proportion equation
   32,664 : 73,320 = 73,320 : x
2. Step 2: Convert to fraction form
   32,664/73,320 = 73,320/x
3. Step 3: Cross multiply
   32,664x = 73,320 × 73,320
4. Step 4: Simplify right side
   32,664x = 5,375,822,400
5. Step 5: Solve for x
   x = 5,375,822,400/32,664
6. Step 6: Final answer
   x = 164,579.43