Finding the Third Proportional to 2,792.25 and 5,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,792.25 : 5,942.25 = 5,942.25 : x
2. Step 2: Convert to fraction form
   2,792.25/5,942.25 = 5,942.25/x
3. Step 3: Cross multiply
   2,792.25x = 5,942.25 × 5,942.25
4. Step 4: Simplify right side
   2,792.25x = 35,310,335.06
5. Step 5: Solve for x
   x = 35,310,335.06/2,792.25
6. Step 6: Final answer
   x = 12,645.84