Finding the Third Proportional to 35,530 and 82,260

Step by Step Solution

1. Step 1: Write the proportion equation
   35,530 : 82,260 = 82,260 : x
2. Step 2: Convert to fraction form
   35,530/82,260 = 82,260/x
3. Step 3: Cross multiply
   35,530x = 82,260 × 82,260
4. Step 4: Simplify right side
   35,530x = 6,766,707,600
5. Step 5: Solve for x
   x = 6,766,707,600/35,530
6. Step 6: Final answer
   x = 190,450.54