Finding the Third Proportional to 10,250 and 16,353

Step by Step Solution

1. Step 1: Write the proportion equation
   10,250 : 16,353 = 16,353 : x
2. Step 2: Convert to fraction form
   10,250/16,353 = 16,353/x
3. Step 3: Cross multiply
   10,250x = 16,353 × 16,353
4. Step 4: Simplify right side
   10,250x = 267,420,609
5. Step 5: Solve for x
   x = 267,420,609/10,250
6. Step 6: Final answer
   x = 26,089.82