Finding the Third Proportional to 33,676 and 52,830

Step by Step Solution

1. Step 1: Write the proportion equation
   33,676 : 52,830 = 52,830 : x
2. Step 2: Convert to fraction form
   33,676/52,830 = 52,830/x
3. Step 3: Cross multiply
   33,676x = 52,830 × 52,830
4. Step 4: Simplify right side
   33,676x = 2,791,008,900
5. Step 5: Solve for x
   x = 2,791,008,900/33,676
6. Step 6: Final answer
   x = 82,878.28