Finding the Third Proportional to 4,096.69 and 4,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096.69 : 4,663.69 = 4,663.69 : x
2. Step 2: Convert to fraction form
   4,096.69/4,663.69 = 4,663.69/x
3. Step 3: Cross multiply
   4,096.69x = 4,663.69 × 4,663.69
4. Step 4: Simplify right side
   4,096.69x = 21,749,981.10
5. Step 5: Solve for x
   x = 21,749,981.10/4,096.69
6. Step 6: Final answer
   x = 5,309.16