Finding the Third Proportional to 1,074.94 and 2,223.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.94 : 2,223.28 = 2,223.28 : x
2. Step 2: Convert to fraction form
   1,074.94/2,223.28 = 2,223.28/x
3. Step 3: Cross multiply
   1,074.94x = 2,223.28 × 2,223.28
4. Step 4: Simplify right side
   1,074.94x = 4,942,979.52
5. Step 5: Solve for x
   x = 4,942,979.52/1,074.94
6. Step 6: Final answer
   x = 4,598.39