Finding the Third Proportional to 33,502 and 50,686

Step by Step Solution

1. Step 1: Write the proportion equation
   33,502 : 50,686 = 50,686 : x
2. Step 2: Convert to fraction form
   33,502/50,686 = 50,686/x
3. Step 3: Cross multiply
   33,502x = 50,686 × 50,686
4. Step 4: Simplify right side
   33,502x = 2,569,070,596
5. Step 5: Solve for x
   x = 2,569,070,596/33,502
6. Step 6: Final answer
   x = 76,684.10