Finding the Third Proportional to 2,208.50 and 3,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,208.50 : 3,420.50 = 3,420.50 : x
2. Step 2: Convert to fraction form
   2,208.50/3,420.50 = 3,420.50/x
3. Step 3: Cross multiply
   2,208.50x = 3,420.50 × 3,420.50
4. Step 4: Simplify right side
   2,208.50x = 11,699,820.25
5. Step 5: Solve for x
   x = 11,699,820.25/2,208.50
6. Step 6: Final answer
   x = 5,297.63