Finding the Third Proportional to 10,164 and 19,104

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 19,104 = 19,104 : x
2. Step 2: Convert to fraction form
   10,164/19,104 = 19,104/x
3. Step 3: Cross multiply
   10,164x = 19,104 × 19,104
4. Step 4: Simplify right side
   10,164x = 364,962,816
5. Step 5: Solve for x
   x = 364,962,816/10,164
6. Step 6: Final answer
   x = 35,907.40