Finding the Third Proportional to 33,772 and 73,488

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772 : 73,488 = 73,488 : x
2. Step 2: Convert to fraction form
   33,772/73,488 = 73,488/x
3. Step 3: Cross multiply
   33,772x = 73,488 × 73,488
4. Step 4: Simplify right side
   33,772x = 5,400,486,144
5. Step 5: Solve for x
   x = 5,400,486,144/33,772
6. Step 6: Final answer
   x = 159,910.17