Finding the Third Proportional to 10,493 and 12,725

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493 : 12,725 = 12,725 : x
2. Step 2: Convert to fraction form
   10,493/12,725 = 12,725/x
3. Step 3: Cross multiply
   10,493x = 12,725 × 12,725
4. Step 4: Simplify right side
   10,493x = 161,925,625
5. Step 5: Solve for x
   x = 161,925,625/10,493
6. Step 6: Final answer
   x = 15,431.78