Finding the Third Proportional to 3,016.50 and 4,642

Step by Step Solution

1. Step 1: Write the proportion equation
   3,016.50 : 4,642 = 4,642 : x
2. Step 2: Convert to fraction form
   3,016.50/4,642 = 4,642/x
3. Step 3: Cross multiply
   3,016.50x = 4,642 × 4,642
4. Step 4: Simplify right side
   3,016.50x = 21,548,164
5. Step 5: Solve for x
   x = 21,548,164/3,016.50
6. Step 6: Final answer
   x = 7,143.43