Finding the Third Proportional to 31,882.50 and 40,424.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882.50 : 40,424.75 = 40,424.75 : x
2. Step 2: Convert to fraction form
   31,882.50/40,424.75 = 40,424.75/x
3. Step 3: Cross multiply
   31,882.50x = 40,424.75 × 40,424.75
4. Step 4: Simplify right side
   31,882.50x = 1,634,160,412.56
5. Step 5: Solve for x
   x = 1,634,160,412.56/31,882.50
6. Step 6: Final answer
   x = 51,255.72