Finding the Third Proportional to 31,309.98 and 35,615.64

Step by Step Solution

1. Step 1: Write the proportion equation
   31,309.98 : 35,615.64 = 35,615.64 : x
2. Step 2: Convert to fraction form
   31,309.98/35,615.64 = 35,615.64/x
3. Step 3: Cross multiply
   31,309.98x = 35,615.64 × 35,615.64
4. Step 4: Simplify right side
   31,309.98x = 1,268,473,578.88
5. Step 5: Solve for x
   x = 1,268,473,578.88/31,309.98
6. Step 6: Final answer
   x = 40,513.39