Finding the Third Proportional to 3,897 and 5,488.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897 : 5,488.31 = 5,488.31 : x
2. Step 2: Convert to fraction form
   3,897/5,488.31 = 5,488.31/x
3. Step 3: Cross multiply
   3,897x = 5,488.31 × 5,488.31
4. Step 4: Simplify right side
   3,897x = 30,121,574.10
5. Step 5: Solve for x
   x = 30,121,574.10/3,897
6. Step 6: Final answer
   x = 7,729.43