Finding the Third Proportional to 41,942.81 and 81,759.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,942.81 : 81,759.38 = 81,759.38 : x
2. Step 2: Convert to fraction form
   41,942.81/81,759.38 = 81,759.38/x
3. Step 3: Cross multiply
   41,942.81x = 81,759.38 × 81,759.38
4. Step 4: Simplify right side
   41,942.81x = 6,684,595,400.39
5. Step 5: Solve for x
   x = 6,684,595,400.39/41,942.81
6. Step 6: Final answer
   x = 159,374.04