Finding the Third Proportional to 6,806.81 and 10,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.81 : 10,838.25 = 10,838.25 : x
2. Step 2: Convert to fraction form
   6,806.81/10,838.25 = 10,838.25/x
3. Step 3: Cross multiply
   6,806.81x = 10,838.25 × 10,838.25
4. Step 4: Simplify right side
   6,806.81x = 117,467,663.06
5. Step 5: Solve for x
   x = 117,467,663.06/6,806.81
6. Step 6: Final answer
   x = 17,257.37