Finding the Third Proportional to 4,769.69 and 7,296.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,769.69 : 7,296.31 = 7,296.31 : x
2. Step 2: Convert to fraction form
   4,769.69/7,296.31 = 7,296.31/x
3. Step 3: Cross multiply
   4,769.69x = 7,296.31 × 7,296.31
4. Step 4: Simplify right side
   4,769.69x = 53,236,176.10
5. Step 5: Solve for x
   x = 53,236,176.10/4,769.69
6. Step 6: Final answer
   x = 11,161.36