Finding the Third Proportional to 2,270 and 3,486

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270 : 3,486 = 3,486 : x
2. Step 2: Convert to fraction form
   2,270/3,486 = 3,486/x
3. Step 3: Cross multiply
   2,270x = 3,486 × 3,486
4. Step 4: Simplify right side
   2,270x = 12,152,196
5. Step 5: Solve for x
   x = 12,152,196/2,270
6. Step 6: Final answer
   x = 5,353.39