Finding the Third Proportional to 33,654 and 52,797

Step by Step Solution

1. Step 1: Write the proportion equation
   33,654 : 52,797 = 52,797 : x
2. Step 2: Convert to fraction form
   33,654/52,797 = 52,797/x
3. Step 3: Cross multiply
   33,654x = 52,797 × 52,797
4. Step 4: Simplify right side
   33,654x = 2,787,523,209
5. Step 5: Solve for x
   x = 2,787,523,209/33,654
6. Step 6: Final answer
   x = 82,828.88