Finding the Third Proportional to 3,909.50 and 5,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,909.50 : 5,586.50 = 5,586.50 : x
2. Step 2: Convert to fraction form
   3,909.50/5,586.50 = 5,586.50/x
3. Step 3: Cross multiply
   3,909.50x = 5,586.50 × 5,586.50
4. Step 4: Simplify right side
   3,909.50x = 31,208,982.25
5. Step 5: Solve for x
   x = 31,208,982.25/3,909.50
6. Step 6: Final answer
   x = 7,982.86