Finding the Third Proportional to 31,216.50 and 40,430.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,216.50 : 40,430.50 = 40,430.50 : x
2. Step 2: Convert to fraction form
   31,216.50/40,430.50 = 40,430.50/x
3. Step 3: Cross multiply
   31,216.50x = 40,430.50 × 40,430.50
4. Step 4: Simplify right side
   31,216.50x = 1,634,625,330.25
5. Step 5: Solve for x
   x = 1,634,625,330.25/31,216.50
6. Step 6: Final answer
   x = 52,364.14