Finding the Third Proportional to 6,806.25 and 10,407.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.25 : 10,407.38 = 10,407.38 : x
2. Step 2: Convert to fraction form
   6,806.25/10,407.38 = 10,407.38/x
3. Step 3: Cross multiply
   6,806.25x = 10,407.38 × 10,407.38
4. Step 4: Simplify right side
   6,806.25x = 108,313,454.39
5. Step 5: Solve for x
   x = 108,313,454.39/6,806.25
6. Step 6: Final answer
   x = 15,913.82