Finding the Third Proportional to 12,105 and 14,778

Step by Step Solution

1. Step 1: Write the proportion equation
   12,105 : 14,778 = 14,778 : x
2. Step 2: Convert to fraction form
   12,105/14,778 = 14,778/x
3. Step 3: Cross multiply
   12,105x = 14,778 × 14,778
4. Step 4: Simplify right side
   12,105x = 218,389,284
5. Step 5: Solve for x
   x = 218,389,284/12,105
6. Step 6: Final answer
   x = 18,041.25