Finding the Third Proportional to 2,595 and 3,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595 : 3,940.50 = 3,940.50 : x
2. Step 2: Convert to fraction form
   2,595/3,940.50 = 3,940.50/x
3. Step 3: Cross multiply
   2,595x = 3,940.50 × 3,940.50
4. Step 4: Simplify right side
   2,595x = 15,527,540.25
5. Step 5: Solve for x
   x = 15,527,540.25/2,595
6. Step 6: Final answer
   x = 5,983.64