Finding the Third Proportional to 3,586.50 and 7,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 7,969.50 = 7,969.50 : x
2. Step 2: Convert to fraction form
   3,586.50/7,969.50 = 7,969.50/x
3. Step 3: Cross multiply
   3,586.50x = 7,969.50 × 7,969.50
4. Step 4: Simplify right side
   3,586.50x = 63,512,930.25
5. Step 5: Solve for x
   x = 63,512,930.25/3,586.50
6. Step 6: Final answer
   x = 17,708.89