Finding the Third Proportional to 2,227.50 and 4,762.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.50 : 4,762.69 = 4,762.69 : x
2. Step 2: Convert to fraction form
   2,227.50/4,762.69 = 4,762.69/x
3. Step 3: Cross multiply
   2,227.50x = 4,762.69 × 4,762.69
4. Step 4: Simplify right side
   2,227.50x = 22,683,192.22
5. Step 5: Solve for x
   x = 22,683,192.22/2,227.50
6. Step 6: Final answer
   x = 10,183.25