Finding the Third Proportional to 33,657 and 52,801

Step by Step Solution

1. Step 1: Write the proportion equation
   33,657 : 52,801 = 52,801 : x
2. Step 2: Convert to fraction form
   33,657/52,801 = 52,801/x
3. Step 3: Cross multiply
   33,657x = 52,801 × 52,801
4. Step 4: Simplify right side
   33,657x = 2,787,945,601
5. Step 5: Solve for x
   x = 2,787,945,601/33,657
6. Step 6: Final answer
   x = 82,834.05