Finding the Third Proportional to 3,441 and 5,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,441 : 5,698.50 = 5,698.50 : x
2. Step 2: Convert to fraction form
   3,441/5,698.50 = 5,698.50/x
3. Step 3: Cross multiply
   3,441x = 5,698.50 × 5,698.50
4. Step 4: Simplify right side
   3,441x = 32,472,902.25
5. Step 5: Solve for x
   x = 32,472,902.25/3,441
6. Step 6: Final answer
   x = 9,437.05