Finding the Third Proportional to 6,838.88 and 10,227.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838.88 : 10,227.38 = 10,227.38 : x
2. Step 2: Convert to fraction form
   6,838.88/10,227.38 = 10,227.38/x
3. Step 3: Cross multiply
   6,838.88x = 10,227.38 × 10,227.38
4. Step 4: Simplify right side
   6,838.88x = 104,599,199.39
5. Step 5: Solve for x
   x = 104,599,199.39/6,838.88
6. Step 6: Final answer
   x = 15,294.80