Finding the Third Proportional to 31,883 and 40,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,883 : 40,425.50 = 40,425.50 : x
2. Step 2: Convert to fraction form
   31,883/40,425.50 = 40,425.50/x
3. Step 3: Cross multiply
   31,883x = 40,425.50 × 40,425.50
4. Step 4: Simplify right side
   31,883x = 1,634,221,050.25
5. Step 5: Solve for x
   x = 1,634,221,050.25/31,883
6. Step 6: Final answer
   x = 51,256.82