Finding the Third Proportional to 31,164.75 and 39,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164.75 : 39,629.25 = 39,629.25 : x
2. Step 2: Convert to fraction form
   31,164.75/39,629.25 = 39,629.25/x
3. Step 3: Cross multiply
   31,164.75x = 39,629.25 × 39,629.25
4. Step 4: Simplify right side
   31,164.75x = 1,570,477,455.56
5. Step 5: Solve for x
   x = 1,570,477,455.56/31,164.75
6. Step 6: Final answer
   x = 50,392.75