Finding the Third Proportional to 2,785.13 and 5,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.13 : 5,995.50 = 5,995.50 : x
2. Step 2: Convert to fraction form
   2,785.13/5,995.50 = 5,995.50/x
3. Step 3: Cross multiply
   2,785.13x = 5,995.50 × 5,995.50
4. Step 4: Simplify right side
   2,785.13x = 35,946,020.25
5. Step 5: Solve for x
   x = 35,946,020.25/2,785.13
6. Step 6: Final answer
   x = 12,906.43