Finding the Third Proportional to 10,185 and 14,049

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 14,049 = 14,049 : x
2. Step 2: Convert to fraction form
   10,185/14,049 = 14,049/x
3. Step 3: Cross multiply
   10,185x = 14,049 × 14,049
4. Step 4: Simplify right side
   10,185x = 197,374,401
5. Step 5: Solve for x
   x = 197,374,401/10,185
6. Step 6: Final answer
   x = 19,378.93