Finding the Third Proportional to 32,814 and 50,446

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 50,446 = 50,446 : x
2. Step 2: Convert to fraction form
   32,814/50,446 = 50,446/x
3. Step 3: Cross multiply
   32,814x = 50,446 × 50,446
4. Step 4: Simplify right side
   32,814x = 2,544,798,916
5. Step 5: Solve for x
   x = 2,544,798,916/32,814
6. Step 6: Final answer
   x = 77,552.23