Finding the Third Proportional to 40,765.50 and 82,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,765.50 : 82,759.50 = 82,759.50 : x
2. Step 2: Convert to fraction form
   40,765.50/82,759.50 = 82,759.50/x
3. Step 3: Cross multiply
   40,765.50x = 82,759.50 × 82,759.50
4. Step 4: Simplify right side
   40,765.50x = 6,849,134,840.25
5. Step 5: Solve for x
   x = 6,849,134,840.25/40,765.50
6. Step 6: Final answer
   x = 168,013.02