Finding the Third Proportional to 32,034 and 73,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,034 : 73,735.50 = 73,735.50 : x
2. Step 2: Convert to fraction form
   32,034/73,735.50 = 73,735.50/x
3. Step 3: Cross multiply
   32,034x = 73,735.50 × 73,735.50
4. Step 4: Simplify right side
   32,034x = 5,436,923,960.25
5. Step 5: Solve for x
   x = 5,436,923,960.25/32,034
6. Step 6: Final answer
   x = 169,723.54