Finding the Third Proportional to 33,744 and 73,564

Step by Step Solution

1. Step 1: Write the proportion equation
   33,744 : 73,564 = 73,564 : x
2. Step 2: Convert to fraction form
   33,744/73,564 = 73,564/x
3. Step 3: Cross multiply
   33,744x = 73,564 × 73,564
4. Step 4: Simplify right side
   33,744x = 5,411,662,096
5. Step 5: Solve for x
   x = 5,411,662,096/33,744
6. Step 6: Final answer
   x = 160,374.05