Finding the Third Proportional to 2,194.59 and 5,180.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.59 : 5,180.34 = 5,180.34 : x
2. Step 2: Convert to fraction form
   2,194.59/5,180.34 = 5,180.34/x
3. Step 3: Cross multiply
   2,194.59x = 5,180.34 × 5,180.34
4. Step 4: Simplify right side
   2,194.59x = 26,835,961.37
5. Step 5: Solve for x
   x = 26,835,961.37/2,194.59
6. Step 6: Final answer
   x = 12,228.21