Finding the Third Proportional to 33,857 and 52,635

Step by Step Solution

1. Step 1: Write the proportion equation
   33,857 : 52,635 = 52,635 : x
2. Step 2: Convert to fraction form
   33,857/52,635 = 52,635/x
3. Step 3: Cross multiply
   33,857x = 52,635 × 52,635
4. Step 4: Simplify right side
   33,857x = 2,770,443,225
5. Step 5: Solve for x
   x = 2,770,443,225/33,857
6. Step 6: Final answer
   x = 81,827.78