Finding the Third Proportional to 2,194 and 5,179

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194 : 5,179 = 5,179 : x
2. Step 2: Convert to fraction form
   2,194/5,179 = 5,179/x
3. Step 3: Cross multiply
   2,194x = 5,179 × 5,179
4. Step 4: Simplify right side
   2,194x = 26,822,041
5. Step 5: Solve for x
   x = 26,822,041/2,194
6. Step 6: Final answer
   x = 12,225.18