Finding the Third Proportional to 33,200 and 71,682

Step by Step Solution

1. Step 1: Write the proportion equation
   33,200 : 71,682 = 71,682 : x
2. Step 2: Convert to fraction form
   33,200/71,682 = 71,682/x
3. Step 3: Cross multiply
   33,200x = 71,682 × 71,682
4. Step 4: Simplify right side
   33,200x = 5,138,309,124
5. Step 5: Solve for x
   x = 5,138,309,124/33,200
6. Step 6: Final answer
   x = 154,768.35