Finding the Third Proportional to 3,223.50 and 4,658.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,223.50 : 4,658.25 = 4,658.25 : x
2. Step 2: Convert to fraction form
   3,223.50/4,658.25 = 4,658.25/x
3. Step 3: Cross multiply
   3,223.50x = 4,658.25 × 4,658.25
4. Step 4: Simplify right side
   3,223.50x = 21,699,293.06
5. Step 5: Solve for x
   x = 21,699,293.06/3,223.50
6. Step 6: Final answer
   x = 6,731.59