Finding the Third Proportional to 4,672.69 and 7,018.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,672.69 : 7,018.31 = 7,018.31 : x
2. Step 2: Convert to fraction form
   4,672.69/7,018.31 = 7,018.31/x
3. Step 3: Cross multiply
   4,672.69x = 7,018.31 × 7,018.31
4. Step 4: Simplify right side
   4,672.69x = 49,256,710.35
5. Step 5: Solve for x
   x = 49,256,710.35/4,672.69
6. Step 6: Final answer
   x = 10,541.41