Finding the Third Proportional to 2,212 and 2,356

Step by Step Solution

1. Step 1: Write the proportion equation
   2,212 : 2,356 = 2,356 : x
2. Step 2: Convert to fraction form
   2,212/2,356 = 2,356/x
3. Step 3: Cross multiply
   2,212x = 2,356 × 2,356
4. Step 4: Simplify right side
   2,212x = 5,550,736
5. Step 5: Solve for x
   x = 5,550,736/2,212
6. Step 6: Final answer
   x = 2,509.37