Finding the Third Proportional to 2,123 and 2,336

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123 : 2,336 = 2,336 : x
2. Step 2: Convert to fraction form
   2,123/2,336 = 2,336/x
3. Step 3: Cross multiply
   2,123x = 2,336 × 2,336
4. Step 4: Simplify right side
   2,123x = 5,456,896
5. Step 5: Solve for x
   x = 5,456,896/2,123
6. Step 6: Final answer
   x = 2,570.37