Finding the Third Proportional to 40,380.75 and 57,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,380.75 : 57,683.25 = 57,683.25 : x
2. Step 2: Convert to fraction form
   40,380.75/57,683.25 = 57,683.25/x
3. Step 3: Cross multiply
   40,380.75x = 57,683.25 × 57,683.25
4. Step 4: Simplify right side
   40,380.75x = 3,327,357,330.56
5. Step 5: Solve for x
   x = 3,327,357,330.56/40,380.75
6. Step 6: Final answer
   x = 82,399.59