Finding the Third Proportional to 10,072 and 14,145

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 14,145 = 14,145 : x
2. Step 2: Convert to fraction form
   10,072/14,145 = 14,145/x
3. Step 3: Cross multiply
   10,072x = 14,145 × 14,145
4. Step 4: Simplify right side
   10,072x = 200,081,025
5. Step 5: Solve for x
   x = 200,081,025/10,072
6. Step 6: Final answer
   x = 19,865.07