Finding the Third Proportional to 4,596 and 7,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,596 : 7,018.50 = 7,018.50 : x
2. Step 2: Convert to fraction form
   4,596/7,018.50 = 7,018.50/x
3. Step 3: Cross multiply
   4,596x = 7,018.50 × 7,018.50
4. Step 4: Simplify right side
   4,596x = 49,259,342.25
5. Step 5: Solve for x
   x = 49,259,342.25/4,596
6. Step 6: Final answer
   x = 10,717.87