Finding the Third Proportional to 33,585 and 73,554

Step by Step Solution

1. Step 1: Write the proportion equation
   33,585 : 73,554 = 73,554 : x
2. Step 2: Convert to fraction form
   33,585/73,554 = 73,554/x
3. Step 3: Cross multiply
   33,585x = 73,554 × 73,554
4. Step 4: Simplify right side
   33,585x = 5,410,190,916
5. Step 5: Solve for x
   x = 5,410,190,916/33,585
6. Step 6: Final answer
   x = 161,089.50