Finding the Third Proportional to 3,989.25 and 5,477.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,989.25 : 5,477.63 = 5,477.63 : x
2. Step 2: Convert to fraction form
   3,989.25/5,477.63 = 5,477.63/x
3. Step 3: Cross multiply
   3,989.25x = 5,477.63 × 5,477.63
4. Step 4: Simplify right side
   3,989.25x = 30,004,375.64
5. Step 5: Solve for x
   x = 30,004,375.64/3,989.25
6. Step 6: Final answer
   x = 7,521.31