Finding the Third Proportional to 33,732 and 73,538

Step by Step Solution

1. Step 1: Write the proportion equation
   33,732 : 73,538 = 73,538 : x
2. Step 2: Convert to fraction form
   33,732/73,538 = 73,538/x
3. Step 3: Cross multiply
   33,732x = 73,538 × 73,538
4. Step 4: Simplify right side
   33,732x = 5,407,837,444
5. Step 5: Solve for x
   x = 5,407,837,444/33,732
6. Step 6: Final answer
   x = 160,317.72