Finding the Third Proportional to 10,185 and 14,310

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 14,310 = 14,310 : x
2. Step 2: Convert to fraction form
   10,185/14,310 = 14,310/x
3. Step 3: Cross multiply
   10,185x = 14,310 × 14,310
4. Step 4: Simplify right side
   10,185x = 204,776,100
5. Step 5: Solve for x
   x = 204,776,100/10,185
6. Step 6: Final answer
   x = 20,105.66