Finding the Third Proportional to 2,008 and 2,188

Step by Step Solution

1. Step 1: Write the proportion equation
   2,008 : 2,188 = 2,188 : x
2. Step 2: Convert to fraction form
   2,008/2,188 = 2,188/x
3. Step 3: Cross multiply
   2,008x = 2,188 × 2,188
4. Step 4: Simplify right side
   2,008x = 4,787,344
5. Step 5: Solve for x
   x = 4,787,344/2,008
6. Step 6: Final answer
   x = 2,384.14