Finding the Third Proportional to 40,729.50 and 86,835.38

Step by Step Solution

1. Step 1: Write the proportion equation
   40,729.50 : 86,835.38 = 86,835.38 : x
2. Step 2: Convert to fraction form
   40,729.50/86,835.38 = 86,835.38/x
3. Step 3: Cross multiply
   40,729.50x = 86,835.38 × 86,835.38
4. Step 4: Simplify right side
   40,729.50x = 7,540,382,351.39
5. Step 5: Solve for x
   x = 7,540,382,351.39/40,729.50
6. Step 6: Final answer
   x = 185,133.19