Finding the Third Proportional to 10,205 and 14,444

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 14,444 = 14,444 : x
2. Step 2: Convert to fraction form
   10,205/14,444 = 14,444/x
3. Step 3: Cross multiply
   10,205x = 14,444 × 14,444
4. Step 4: Simplify right side
   10,205x = 208,629,136
5. Step 5: Solve for x
   x = 208,629,136/10,205
6. Step 6: Final answer
   x = 20,443.82