Finding the Third Proportional to 32,780 and 50,452

Step by Step Solution

1. Step 1: Write the proportion equation
   32,780 : 50,452 = 50,452 : x
2. Step 2: Convert to fraction form
   32,780/50,452 = 50,452/x
3. Step 3: Cross multiply
   32,780x = 50,452 × 50,452
4. Step 4: Simplify right side
   32,780x = 2,545,404,304
5. Step 5: Solve for x
   x = 2,545,404,304/32,780
6. Step 6: Final answer
   x = 77,651.14