Finding the Third Proportional to 2,641.36 and 3,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.36 : 3,692.25 = 3,692.25 : x
2. Step 2: Convert to fraction form
   2,641.36/3,692.25 = 3,692.25/x
3. Step 3: Cross multiply
   2,641.36x = 3,692.25 × 3,692.25
4. Step 4: Simplify right side
   2,641.36x = 13,632,710.06
5. Step 5: Solve for x
   x = 13,632,710.06/2,641.36
6. Step 6: Final answer
   x = 5,161.25