Finding the Third Proportional to 1,441 and 3,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441 : 3,306.50 = 3,306.50 : x
2. Step 2: Convert to fraction form
   1,441/3,306.50 = 3,306.50/x
3. Step 3: Cross multiply
   1,441x = 3,306.50 × 3,306.50
4. Step 4: Simplify right side
   1,441x = 10,932,942.25
5. Step 5: Solve for x
   x = 10,932,942.25/1,441
6. Step 6: Final answer
   x = 7,587.05