Finding the Third Proportional to 40,205.25 and 57,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,205.25 : 57,696.75 = 57,696.75 : x
2. Step 2: Convert to fraction form
   40,205.25/57,696.75 = 57,696.75/x
3. Step 3: Cross multiply
   40,205.25x = 57,696.75 × 57,696.75
4. Step 4: Simplify right side
   40,205.25x = 3,328,914,960.56
5. Step 5: Solve for x
   x = 3,328,914,960.56/40,205.25
6. Step 6: Final answer
   x = 82,798.02