Finding the Third Proportional to 2,228 and 4,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228 : 4,764.50 = 4,764.50 : x
2. Step 2: Convert to fraction form
   2,228/4,764.50 = 4,764.50/x
3. Step 3: Cross multiply
   2,228x = 4,764.50 × 4,764.50
4. Step 4: Simplify right side
   2,228x = 22,700,460.25
5. Step 5: Solve for x
   x = 22,700,460.25/2,228
6. Step 6: Final answer
   x = 10,188.72