Finding the Third Proportional to 2,106 and 3,188

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,188 = 3,188 : x
2. Step 2: Convert to fraction form
   2,106/3,188 = 3,188/x
3. Step 3: Cross multiply
   2,106x = 3,188 × 3,188
4. Step 4: Simplify right side
   2,106x = 10,163,344
5. Step 5: Solve for x
   x = 10,163,344/2,106
6. Step 6: Final answer
   x = 4,825.90