Finding the Third Proportional to 6,462 and 10,725

Step by Step Solution

1. Step 1: Write the proportion equation
   6,462 : 10,725 = 10,725 : x
2. Step 2: Convert to fraction form
   6,462/10,725 = 10,725/x
3. Step 3: Cross multiply
   6,462x = 10,725 × 10,725
4. Step 4: Simplify right side
   6,462x = 115,025,625
5. Step 5: Solve for x
   x = 115,025,625/6,462
6. Step 6: Final answer
   x = 17,800.31