Finding the Third Proportional to 32,019 and 48,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,019 : 48,016.50 = 48,016.50 : x
2. Step 2: Convert to fraction form
   32,019/48,016.50 = 48,016.50/x
3. Step 3: Cross multiply
   32,019x = 48,016.50 × 48,016.50
4. Step 4: Simplify right side
   32,019x = 2,305,584,272.25
5. Step 5: Solve for x
   x = 2,305,584,272.25/32,019
6. Step 6: Final answer
   x = 72,006.75