Finding the Third Proportional to 6,590 and 10,250

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590 : 10,250 = 10,250 : x
2. Step 2: Convert to fraction form
   6,590/10,250 = 10,250/x
3. Step 3: Cross multiply
   6,590x = 10,250 × 10,250
4. Step 4: Simplify right side
   6,590x = 105,062,500
5. Step 5: Solve for x
   x = 105,062,500/6,590
6. Step 6: Final answer
   x = 15,942.72