Finding the Third Proportional to 2,216 and 4,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,216 : 4,776.50 = 4,776.50 : x
2. Step 2: Convert to fraction form
   2,216/4,776.50 = 4,776.50/x
3. Step 3: Cross multiply
   2,216x = 4,776.50 × 4,776.50
4. Step 4: Simplify right side
   2,216x = 22,814,952.25
5. Step 5: Solve for x
   x = 22,814,952.25/2,216
6. Step 6: Final answer
   x = 10,295.56