Finding the Third Proportional to 33,743 and 52,383

Step by Step Solution

1. Step 1: Write the proportion equation
   33,743 : 52,383 = 52,383 : x
2. Step 2: Convert to fraction form
   33,743/52,383 = 52,383/x
3. Step 3: Cross multiply
   33,743x = 52,383 × 52,383
4. Step 4: Simplify right side
   33,743x = 2,743,978,689
5. Step 5: Solve for x
   x = 2,743,978,689/33,743
6. Step 6: Final answer
   x = 81,319.94