Finding the Third Proportional to 10,164 and 21,948

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 21,948 = 21,948 : x
2. Step 2: Convert to fraction form
   10,164/21,948 = 21,948/x
3. Step 3: Cross multiply
   10,164x = 21,948 × 21,948
4. Step 4: Simplify right side
   10,164x = 481,714,704
5. Step 5: Solve for x
   x = 481,714,704/10,164
6. Step 6: Final answer
   x = 47,394.21