Finding the Third Proportional to 3,971 and 5,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,971 : 5,909.50 = 5,909.50 : x
2. Step 2: Convert to fraction form
   3,971/5,909.50 = 5,909.50/x
3. Step 3: Cross multiply
   3,971x = 5,909.50 × 5,909.50
4. Step 4: Simplify right side
   3,971x = 34,922,190.25
5. Step 5: Solve for x
   x = 34,922,190.25/3,971
6. Step 6: Final answer
   x = 8,794.31