Finding the Third Proportional to 5,996 and 10,250

Step by Step Solution

1. Step 1: Write the proportion equation
   5,996 : 10,250 = 10,250 : x
2. Step 2: Convert to fraction form
   5,996/10,250 = 10,250/x
3. Step 3: Cross multiply
   5,996x = 10,250 × 10,250
4. Step 4: Simplify right side
   5,996x = 105,062,500
5. Step 5: Solve for x
   x = 105,062,500/5,996
6. Step 6: Final answer
   x = 17,522.10