Finding the Third Proportional to 964.69 and 2,233.69

Step by Step Solution

1. Step 1: Write the proportion equation
   964.69 : 2,233.69 = 2,233.69 : x
2. Step 2: Convert to fraction form
   964.69/2,233.69 = 2,233.69/x
3. Step 3: Cross multiply
   964.69x = 2,233.69 × 2,233.69
4. Step 4: Simplify right side
   964.69x = 4,989,359.85
5. Step 5: Solve for x
   x = 4,989,359.85/964.69
6. Step 6: Final answer
   x = 5,172.00