Finding the Third Proportional to 32,852 and 50,554

Step by Step Solution

1. Step 1: Write the proportion equation
   32,852 : 50,554 = 50,554 : x
2. Step 2: Convert to fraction form
   32,852/50,554 = 50,554/x
3. Step 3: Cross multiply
   32,852x = 50,554 × 50,554
4. Step 4: Simplify right side
   32,852x = 2,555,706,916
5. Step 5: Solve for x
   x = 2,555,706,916/32,852
6. Step 6: Final answer
   x = 77,794.56