Finding the Third Proportional to 10,164 and 18,114

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 18,114 = 18,114 : x
2. Step 2: Convert to fraction form
   10,164/18,114 = 18,114/x
3. Step 3: Cross multiply
   10,164x = 18,114 × 18,114
4. Step 4: Simplify right side
   10,164x = 328,116,996
5. Step 5: Solve for x
   x = 328,116,996/10,164
6. Step 6: Final answer
   x = 32,282.27