Finding the Third Proportional to 3,820.50 and 5,519.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 5,519.81 = 5,519.81 : x
2. Step 2: Convert to fraction form
   3,820.50/5,519.81 = 5,519.81/x
3. Step 3: Cross multiply
   3,820.50x = 5,519.81 × 5,519.81
4. Step 4: Simplify right side
   3,820.50x = 30,468,330.04
5. Step 5: Solve for x
   x = 30,468,330.04/3,820.50
6. Step 6: Final answer
   x = 7,974.96