Finding the Third Proportional to 10,326 and 19,174

Step by Step Solution

1. Step 1: Write the proportion equation
   10,326 : 19,174 = 19,174 : x
2. Step 2: Convert to fraction form
   10,326/19,174 = 19,174/x
3. Step 3: Cross multiply
   10,326x = 19,174 × 19,174
4. Step 4: Simplify right side
   10,326x = 367,642,276
5. Step 5: Solve for x
   x = 367,642,276/10,326
6. Step 6: Final answer
   x = 35,603.55