Finding the Third Proportional to 9,648 and 14,141

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 14,141 = 14,141 : x
2. Step 2: Convert to fraction form
   9,648/14,141 = 14,141/x
3. Step 3: Cross multiply
   9,648x = 14,141 × 14,141
4. Step 4: Simplify right side
   9,648x = 199,967,881
5. Step 5: Solve for x
   x = 199,967,881/9,648
6. Step 6: Final answer
   x = 20,726.36