Finding the Third Proportional to 10,846 and 16,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846 : 16,648 = 16,648 : x
2. Step 2: Convert to fraction form
   10,846/16,648 = 16,648/x
3. Step 3: Cross multiply
   10,846x = 16,648 × 16,648
4. Step 4: Simplify right side
   10,846x = 277,155,904
5. Step 5: Solve for x
   x = 277,155,904/10,846
6. Step 6: Final answer
   x = 25,553.74