Finding the Third Proportional to 33,723 and 52,353

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 52,353 = 52,353 : x
2. Step 2: Convert to fraction form
   33,723/52,353 = 52,353/x
3. Step 3: Cross multiply
   33,723x = 52,353 × 52,353
4. Step 4: Simplify right side
   33,723x = 2,740,836,609
5. Step 5: Solve for x
   x = 2,740,836,609/33,723
6. Step 6: Final answer
   x = 81,274.99