Finding the Third Proportional to 3,388.50 and 3,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,388.50 : 3,692.25 = 3,692.25 : x
2. Step 2: Convert to fraction form
   3,388.50/3,692.25 = 3,692.25/x
3. Step 3: Cross multiply
   3,388.50x = 3,692.25 × 3,692.25
4. Step 4: Simplify right side
   3,388.50x = 13,632,710.06
5. Step 5: Solve for x
   x = 13,632,710.06/3,388.50
6. Step 6: Final answer
   x = 4,023.23