Finding the Third Proportional to 6,869.25 and 10,335.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,869.25 : 10,335.38 = 10,335.38 : x
2. Step 2: Convert to fraction form
   6,869.25/10,335.38 = 10,335.38/x
3. Step 3: Cross multiply
   6,869.25x = 10,335.38 × 10,335.38
4. Step 4: Simplify right side
   6,869.25x = 106,819,976.39
5. Step 5: Solve for x
   x = 106,819,976.39/6,869.25
6. Step 6: Final answer
   x = 15,550.46