Finding the Third Proportional to 3,586.50 and 7,691.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 7,691.81 = 7,691.81 : x
2. Step 2: Convert to fraction form
   3,586.50/7,691.81 = 7,691.81/x
3. Step 3: Cross multiply
   3,586.50x = 7,691.81 × 7,691.81
4. Step 4: Simplify right side
   3,586.50x = 59,163,979.54
5. Step 5: Solve for x
   x = 59,163,979.54/3,586.50
6. Step 6: Final answer
   x = 16,496.30