Finding the Third Proportional to 3,987 and 5,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,987 : 5,978.25 = 5,978.25 : x
2. Step 2: Convert to fraction form
   3,987/5,978.25 = 5,978.25/x
3. Step 3: Cross multiply
   3,987x = 5,978.25 × 5,978.25
4. Step 4: Simplify right side
   3,987x = 35,739,473.06
5. Step 5: Solve for x
   x = 35,739,473.06/3,987
6. Step 6: Final answer
   x = 8,964.00