Finding the Third Proportional to 2,233.83 and 4,774.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.83 : 4,774.78 = 4,774.78 : x
2. Step 2: Convert to fraction form
   2,233.83/4,774.78 = 4,774.78/x
3. Step 3: Cross multiply
   2,233.83x = 4,774.78 × 4,774.78
4. Step 4: Simplify right side
   2,233.83x = 22,798,535.99
5. Step 5: Solve for x
   x = 22,798,535.99/2,233.83
6. Step 6: Final answer
   x = 10,206.04