Finding the Third Proportional to 31,883.50 and 40,426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,883.50 : 40,426.25 = 40,426.25 : x
2. Step 2: Convert to fraction form
   31,883.50/40,426.25 = 40,426.25/x
3. Step 3: Cross multiply
   31,883.50x = 40,426.25 × 40,426.25
4. Step 4: Simplify right side
   31,883.50x = 1,634,281,689.06
5. Step 5: Solve for x
   x = 1,634,281,689.06/31,883.50
6. Step 6: Final answer
   x = 51,257.91