Finding the Third Proportional to 2,931.89 and 5,983.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,931.89 : 5,983.17 = 5,983.17 : x
2. Step 2: Convert to fraction form
   2,931.89/5,983.17 = 5,983.17/x
3. Step 3: Cross multiply
   2,931.89x = 5,983.17 × 5,983.17
4. Step 4: Simplify right side
   2,931.89x = 35,798,345.69
5. Step 5: Solve for x
   x = 35,798,345.69/2,931.89
6. Step 6: Final answer
   x = 12,209.99