Finding the Third Proportional to 3,506.41 and 5,019.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506.41 : 5,019.47 = 5,019.47 : x
2. Step 2: Convert to fraction form
   3,506.41/5,019.47 = 5,019.47/x
3. Step 3: Cross multiply
   3,506.41x = 5,019.47 × 5,019.47
4. Step 4: Simplify right side
   3,506.41x = 25,195,066.53
5. Step 5: Solve for x
   x = 25,195,066.53/3,506.41
6. Step 6: Final answer
   x = 7,185.42