Finding the Third Proportional to 12,185 and 18,410

Step by Step Solution

1. Step 1: Write the proportion equation
   12,185 : 18,410 = 18,410 : x
2. Step 2: Convert to fraction form
   12,185/18,410 = 18,410/x
3. Step 3: Cross multiply
   12,185x = 18,410 × 18,410
4. Step 4: Simplify right side
   12,185x = 338,928,100
5. Step 5: Solve for x
   x = 338,928,100/12,185
6. Step 6: Final answer
   x = 27,815.19