Finding the Third Proportional to 3,222.38 and 4,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,222.38 : 4,843.50 = 4,843.50 : x
2. Step 2: Convert to fraction form
   3,222.38/4,843.50 = 4,843.50/x
3. Step 3: Cross multiply
   3,222.38x = 4,843.50 × 4,843.50
4. Step 4: Simplify right side
   3,222.38x = 23,459,492.25
5. Step 5: Solve for x
   x = 23,459,492.25/3,222.38
6. Step 6: Final answer
   x = 7,280.19