Finding the Third Proportional to 4,663.69 and 7,132.22

Step by Step Solution

1. Step 1: Write the proportion equation
   4,663.69 : 7,132.22 = 7,132.22 : x
2. Step 2: Convert to fraction form
   4,663.69/7,132.22 = 7,132.22/x
3. Step 3: Cross multiply
   4,663.69x = 7,132.22 × 7,132.22
4. Step 4: Simplify right side
   4,663.69x = 50,868,544.30
5. Step 5: Solve for x
   x = 50,868,544.30/4,663.69
6. Step 6: Final answer
   x = 10,907.37