Finding the Third Proportional to 10,736 and 18,102

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 18,102 = 18,102 : x
2. Step 2: Convert to fraction form
   10,736/18,102 = 18,102/x
3. Step 3: Cross multiply
   10,736x = 18,102 × 18,102
4. Step 4: Simplify right side
   10,736x = 327,682,404
5. Step 5: Solve for x
   x = 327,682,404/10,736
6. Step 6: Final answer
   x = 30,521.83