Finding the Third Proportional to 10,648 and 14,204

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 14,204 = 14,204 : x
2. Step 2: Convert to fraction form
   10,648/14,204 = 14,204/x
3. Step 3: Cross multiply
   10,648x = 14,204 × 14,204
4. Step 4: Simplify right side
   10,648x = 201,753,616
5. Step 5: Solve for x
   x = 201,753,616/10,648
6. Step 6: Final answer
   x = 18,947.56