Finding the Third Proportional to 6,806.50 and 10,965.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.50 : 10,965.25 = 10,965.25 : x
2. Step 2: Convert to fraction form
   6,806.50/10,965.25 = 10,965.25/x
3. Step 3: Cross multiply
   6,806.50x = 10,965.25 × 10,965.25
4. Step 4: Simplify right side
   6,806.50x = 120,236,707.56
5. Step 5: Solve for x
   x = 120,236,707.56/6,806.50
6. Step 6: Final answer
   x = 17,664.98