Finding the Third Proportional to 3,817.69 and 8,119.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817.69 : 8,119.69 = 8,119.69 : x
2. Step 2: Convert to fraction form
   3,817.69/8,119.69 = 8,119.69/x
3. Step 3: Cross multiply
   3,817.69x = 8,119.69 × 8,119.69
4. Step 4: Simplify right side
   3,817.69x = 65,929,325.10
5. Step 5: Solve for x
   x = 65,929,325.10/3,817.69
6. Step 6: Final answer
   x = 17,269.44