Finding the Third Proportional to 10,424 and 19,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 19,184 = 19,184 : x
2. Step 2: Convert to fraction form
   10,424/19,184 = 19,184/x
3. Step 3: Cross multiply
   10,424x = 19,184 × 19,184
4. Step 4: Simplify right side
   10,424x = 368,025,856
5. Step 5: Solve for x
   x = 368,025,856/10,424
6. Step 6: Final answer
   x = 35,305.63