Finding the Third Proportional to 32,012 and 50,649

Step by Step Solution

1. Step 1: Write the proportion equation
   32,012 : 50,649 = 50,649 : x
2. Step 2: Convert to fraction form
   32,012/50,649 = 50,649/x
3. Step 3: Cross multiply
   32,012x = 50,649 × 50,649
4. Step 4: Simplify right side
   32,012x = 2,565,321,201
5. Step 5: Solve for x
   x = 2,565,321,201/32,012
6. Step 6: Final answer
   x = 80,136.24