Finding the Third Proportional to 40,500 and 82,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,500 : 82,618.50 = 82,618.50 : x
2. Step 2: Convert to fraction form
   40,500/82,618.50 = 82,618.50/x
3. Step 3: Cross multiply
   40,500x = 82,618.50 × 82,618.50
4. Step 4: Simplify right side
   40,500x = 6,825,816,542.25
5. Step 5: Solve for x
   x = 6,825,816,542.25/40,500
6. Step 6: Final answer
   x = 168,538.68