Finding the Third Proportional to 10,165 and 21,739

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165 : 21,739 = 21,739 : x
2. Step 2: Convert to fraction form
   10,165/21,739 = 21,739/x
3. Step 3: Cross multiply
   10,165x = 21,739 × 21,739
4. Step 4: Simplify right side
   10,165x = 472,584,121
5. Step 5: Solve for x
   x = 472,584,121/10,165
6. Step 6: Final answer
   x = 46,491.31