Finding the Third Proportional to 2,823.75 and 5,996.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.75 : 5,996.25 = 5,996.25 : x
2. Step 2: Convert to fraction form
   2,823.75/5,996.25 = 5,996.25/x
3. Step 3: Cross multiply
   2,823.75x = 5,996.25 × 5,996.25
4. Step 4: Simplify right side
   2,823.75x = 35,955,014.06
5. Step 5: Solve for x
   x = 35,955,014.06/2,823.75
6. Step 6: Final answer
   x = 12,733.07