Finding the Third Proportional to 3,626.81 and 7,690.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,626.81 : 7,690.31 = 7,690.31 : x
2. Step 2: Convert to fraction form
   3,626.81/7,690.31 = 7,690.31/x
3. Step 3: Cross multiply
   3,626.81x = 7,690.31 × 7,690.31
4. Step 4: Simplify right side
   3,626.81x = 59,140,906.35
5. Step 5: Solve for x
   x = 59,140,906.35/3,626.81
6. Step 6: Final answer
   x = 16,306.58