Finding the Third Proportional to 6,836 and 10,726

Step by Step Solution

1. Step 1: Write the proportion equation
   6,836 : 10,726 = 10,726 : x
2. Step 2: Convert to fraction form
   6,836/10,726 = 10,726/x
3. Step 3: Cross multiply
   6,836x = 10,726 × 10,726
4. Step 4: Simplify right side
   6,836x = 115,047,076
5. Step 5: Solve for x
   x = 115,047,076/6,836
6. Step 6: Final answer
   x = 16,829.59