Finding the Third Proportional to 10,164 and 20,812

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 20,812 = 20,812 : x
2. Step 2: Convert to fraction form
   10,164/20,812 = 20,812/x
3. Step 3: Cross multiply
   10,164x = 20,812 × 20,812
4. Step 4: Simplify right side
   10,164x = 433,139,344
5. Step 5: Solve for x
   x = 433,139,344/10,164
6. Step 6: Final answer
   x = 42,615.05