Finding the Third Proportional to 2,262.94 and 4,753.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.94 : 4,753.69 = 4,753.69 : x
2. Step 2: Convert to fraction form
   2,262.94/4,753.69 = 4,753.69/x
3. Step 3: Cross multiply
   2,262.94x = 4,753.69 × 4,753.69
4. Step 4: Simplify right side
   2,262.94x = 22,597,544.85
5. Step 5: Solve for x
   x = 22,597,544.85/2,262.94
6. Step 6: Final answer
   x = 9,985.93