Finding the Third Proportional to 32,404 and 50,766

Step by Step Solution

1. Step 1: Write the proportion equation
   32,404 : 50,766 = 50,766 : x
2. Step 2: Convert to fraction form
   32,404/50,766 = 50,766/x
3. Step 3: Cross multiply
   32,404x = 50,766 × 50,766
4. Step 4: Simplify right side
   32,404x = 2,577,186,756
5. Step 5: Solve for x
   x = 2,577,186,756/32,404
6. Step 6: Final answer
   x = 79,532.98