Finding the Third Proportional to 32,244 and 50,205

Step by Step Solution

1. Step 1: Write the proportion equation
   32,244 : 50,205 = 50,205 : x
2. Step 2: Convert to fraction form
   32,244/50,205 = 50,205/x
3. Step 3: Cross multiply
   32,244x = 50,205 × 50,205
4. Step 4: Simplify right side
   32,244x = 2,520,542,025
5. Step 5: Solve for x
   x = 2,520,542,025/32,244
6. Step 6: Final answer
   x = 78,170.89