Finding the Third Proportional to 33,200 and 71,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,200 : 71,682.50 = 71,682.50 : x
2. Step 2: Convert to fraction form
   33,200/71,682.50 = 71,682.50/x
3. Step 3: Cross multiply
   33,200x = 71,682.50 × 71,682.50
4. Step 4: Simplify right side
   33,200x = 5,138,380,806.25
5. Step 5: Solve for x
   x = 5,138,380,806.25/33,200
6. Step 6: Final answer
   x = 154,770.51