Finding the Third Proportional to 10,164 and 12,018

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 12,018 = 12,018 : x
2. Step 2: Convert to fraction form
   10,164/12,018 = 12,018/x
3. Step 3: Cross multiply
   10,164x = 12,018 × 12,018
4. Step 4: Simplify right side
   10,164x = 144,432,324
5. Step 5: Solve for x
   x = 144,432,324/10,164
6. Step 6: Final answer
   x = 14,210.19