Finding the Third Proportional to 2,180 and 3,178

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180 : 3,178 = 3,178 : x
2. Step 2: Convert to fraction form
   2,180/3,178 = 3,178/x
3. Step 3: Cross multiply
   2,180x = 3,178 × 3,178
4. Step 4: Simplify right side
   2,180x = 10,099,684
5. Step 5: Solve for x
   x = 10,099,684/2,180
6. Step 6: Final answer
   x = 4,632.88