Finding the Third Proportional to 10,164 and 14,510

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 14,510 = 14,510 : x
2. Step 2: Convert to fraction form
   10,164/14,510 = 14,510/x
3. Step 3: Cross multiply
   10,164x = 14,510 × 14,510
4. Step 4: Simplify right side
   10,164x = 210,540,100
5. Step 5: Solve for x
   x = 210,540,100/10,164
6. Step 6: Final answer
   x = 20,714.30