Finding the Third Proportional to 10,191 and 14,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191 : 14,004 = 14,004 : x
2. Step 2: Convert to fraction form
   10,191/14,004 = 14,004/x
3. Step 3: Cross multiply
   10,191x = 14,004 × 14,004
4. Step 4: Simplify right side
   10,191x = 196,112,016
5. Step 5: Solve for x
   x = 196,112,016/10,191
6. Step 6: Final answer
   x = 19,243.65