Finding the Third Proportional to 2,427.50 and 3,686

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.50 : 3,686 = 3,686 : x
2. Step 2: Convert to fraction form
   2,427.50/3,686 = 3,686/x
3. Step 3: Cross multiply
   2,427.50x = 3,686 × 3,686
4. Step 4: Simplify right side
   2,427.50x = 13,586,596
5. Step 5: Solve for x
   x = 13,586,596/2,427.50
6. Step 6: Final answer
   x = 5,596.95