Finding the Third Proportional to 2,158 and 3,164

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158 : 3,164 = 3,164 : x
2. Step 2: Convert to fraction form
   2,158/3,164 = 3,164/x
3. Step 3: Cross multiply
   2,158x = 3,164 × 3,164
4. Step 4: Simplify right side
   2,158x = 10,010,896
5. Step 5: Solve for x
   x = 10,010,896/2,158
6. Step 6: Final answer
   x = 4,638.97