Finding the Third Proportional to 2,235.94 and 4,774.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,235.94 : 4,774.78 = 4,774.78 : x
2. Step 2: Convert to fraction form
   2,235.94/4,774.78 = 4,774.78/x
3. Step 3: Cross multiply
   2,235.94x = 4,774.78 × 4,774.78
4. Step 4: Simplify right side
   2,235.94x = 22,798,535.99
5. Step 5: Solve for x
   x = 22,798,535.99/2,235.94
6. Step 6: Final answer
   x = 10,196.41