Finding the Third Proportional to 33,682 and 52,835

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 52,835 = 52,835 : x
2. Step 2: Convert to fraction form
   33,682/52,835 = 52,835/x
3. Step 3: Cross multiply
   33,682x = 52,835 × 52,835
4. Step 4: Simplify right side
   33,682x = 2,791,537,225
5. Step 5: Solve for x
   x = 2,791,537,225/33,682
6. Step 6: Final answer
   x = 82,879.20