Finding the Third Proportional to 33,657 and 52,802

Step by Step Solution

1. Step 1: Write the proportion equation
   33,657 : 52,802 = 52,802 : x
2. Step 2: Convert to fraction form
   33,657/52,802 = 52,802/x
3. Step 3: Cross multiply
   33,657x = 52,802 × 52,802
4. Step 4: Simplify right side
   33,657x = 2,788,051,204
5. Step 5: Solve for x
   x = 2,788,051,204/33,657
6. Step 6: Final answer
   x = 82,837.19