Finding the Third Proportional to 4,677.75 and 10,228.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,677.75 : 10,228.78 = 10,228.78 : x
2. Step 2: Convert to fraction form
   4,677.75/10,228.78 = 10,228.78/x
3. Step 3: Cross multiply
   4,677.75x = 10,228.78 × 10,228.78
4. Step 4: Simplify right side
   4,677.75x = 104,627,965.86
5. Step 5: Solve for x
   x = 104,627,965.86/4,677.75
6. Step 6: Final answer
   x = 22,367.16