Finding the Third Proportional to 10,601 and 16,783

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601 : 16,783 = 16,783 : x
2. Step 2: Convert to fraction form
   10,601/16,783 = 16,783/x
3. Step 3: Cross multiply
   10,601x = 16,783 × 16,783
4. Step 4: Simplify right side
   10,601x = 281,669,089
5. Step 5: Solve for x
   x = 281,669,089/10,601
6. Step 6: Final answer
   x = 26,570.05