Finding the Third Proportional to 1,540 and 3,476

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 3,476 = 3,476 : x
2. Step 2: Convert to fraction form
   1,540/3,476 = 3,476/x
3. Step 3: Cross multiply
   1,540x = 3,476 × 3,476
4. Step 4: Simplify right side
   1,540x = 12,082,576
5. Step 5: Solve for x
   x = 12,082,576/1,540
6. Step 6: Final answer
   x = 7,845.83