Finding the Third Proportional to 12,195 and 17,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,195 : 17,826.75 = 17,826.75 : x
2. Step 2: Convert to fraction form
   12,195/17,826.75 = 17,826.75/x
3. Step 3: Cross multiply
   12,195x = 17,826.75 × 17,826.75
4. Step 4: Simplify right side
   12,195x = 317,793,015.56
5. Step 5: Solve for x
   x = 317,793,015.56/12,195
6. Step 6: Final answer
   x = 26,059.29