Finding the Third Proportional to 1,077.75 and 2,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.75 : 2,223.25 = 2,223.25 : x
2. Step 2: Convert to fraction form
   1,077.75/2,223.25 = 2,223.25/x
3. Step 3: Cross multiply
   1,077.75x = 2,223.25 × 2,223.25
4. Step 4: Simplify right side
   1,077.75x = 4,942,840.56
5. Step 5: Solve for x
   x = 4,942,840.56/1,077.75
6. Step 6: Final answer
   x = 4,586.26