Finding the Third Proportional to 2,931.96 and 5,983.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,931.96 : 5,983.31 = 5,983.31 : x
2. Step 2: Convert to fraction form
   2,931.96/5,983.31 = 5,983.31/x
3. Step 3: Cross multiply
   2,931.96x = 5,983.31 × 5,983.31
4. Step 4: Simplify right side
   2,931.96x = 35,800,028.47
5. Step 5: Solve for x
   x = 35,800,028.47/2,931.96
6. Step 6: Final answer
   x = 12,210.27