Finding the Third Proportional to 32,802 and 50,657

Step by Step Solution

1. Step 1: Write the proportion equation
   32,802 : 50,657 = 50,657 : x
2. Step 2: Convert to fraction form
   32,802/50,657 = 50,657/x
3. Step 3: Cross multiply
   32,802x = 50,657 × 50,657
4. Step 4: Simplify right side
   32,802x = 2,566,131,649
5. Step 5: Solve for x
   x = 2,566,131,649/32,802
6. Step 6: Final answer
   x = 78,230.95