Finding the Third Proportional to 2,263.78 and 4,773.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.78 : 4,773.94 = 4,773.94 : x
2. Step 2: Convert to fraction form
   2,263.78/4,773.94 = 4,773.94/x
3. Step 3: Cross multiply
   2,263.78x = 4,773.94 × 4,773.94
4. Step 4: Simplify right side
   2,263.78x = 22,790,479.25
5. Step 5: Solve for x
   x = 22,790,479.25/2,263.78
6. Step 6: Final answer
   x = 10,067.44