Finding the Third Proportional to 31,193.75 and 40,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,193.75 : 40,685.25 = 40,685.25 : x
2. Step 2: Convert to fraction form
   31,193.75/40,685.25 = 40,685.25/x
3. Step 3: Cross multiply
   31,193.75x = 40,685.25 × 40,685.25
4. Step 4: Simplify right side
   31,193.75x = 1,655,289,567.56
5. Step 5: Solve for x
   x = 1,655,289,567.56/31,193.75
6. Step 6: Final answer
   x = 53,064.78