Finding the Third Proportional to 32,164 and 50,039

Step by Step Solution

1. Step 1: Write the proportion equation
   32,164 : 50,039 = 50,039 : x
2. Step 2: Convert to fraction form
   32,164/50,039 = 50,039/x
3. Step 3: Cross multiply
   32,164x = 50,039 × 50,039
4. Step 4: Simplify right side
   32,164x = 2,503,901,521
5. Step 5: Solve for x
   x = 2,503,901,521/32,164
6. Step 6: Final answer
   x = 77,847.95