Finding the Third Proportional to 3,097.13 and 4,147.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097.13 : 4,147.31 = 4,147.31 : x
2. Step 2: Convert to fraction form
   3,097.13/4,147.31 = 4,147.31/x
3. Step 3: Cross multiply
   3,097.13x = 4,147.31 × 4,147.31
4. Step 4: Simplify right side
   3,097.13x = 17,200,200.97
5. Step 5: Solve for x
   x = 17,200,200.97/3,097.13
6. Step 6: Final answer
   x = 5,553.60