Finding the Third Proportional to 2,233.99 and 4,764.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.99 : 4,764.60 = 4,764.60 : x
2. Step 2: Convert to fraction form
   2,233.99/4,764.60 = 4,764.60/x
3. Step 3: Cross multiply
   2,233.99x = 4,764.60 × 4,764.60
4. Step 4: Simplify right side
   2,233.99x = 22,701,446.66
5. Step 5: Solve for x
   x = 22,701,446.66/2,233.99
6. Step 6: Final answer
   x = 10,161.86