Finding the Third Proportional to 6,706 and 10,444

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706 : 10,444 = 10,444 : x
2. Step 2: Convert to fraction form
   6,706/10,444 = 10,444/x
3. Step 3: Cross multiply
   6,706x = 10,444 × 10,444
4. Step 4: Simplify right side
   6,706x = 109,077,136
5. Step 5: Solve for x
   x = 109,077,136/6,706
6. Step 6: Final answer
   x = 16,265.60