Finding the Third Proportional to 6,828.75 and 10,425.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828.75 : 10,425.38 = 10,425.38 : x
2. Step 2: Convert to fraction form
   6,828.75/10,425.38 = 10,425.38/x
3. Step 3: Cross multiply
   6,828.75x = 10,425.38 × 10,425.38
4. Step 4: Simplify right side
   6,828.75x = 108,688,443.89
5. Step 5: Solve for x
   x = 108,688,443.89/6,828.75
6. Step 6: Final answer
   x = 15,916.30