Finding the Third Proportional to 10,530 and 16,902

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 16,902 = 16,902 : x
2. Step 2: Convert to fraction form
   10,530/16,902 = 16,902/x
3. Step 3: Cross multiply
   10,530x = 16,902 × 16,902
4. Step 4: Simplify right side
   10,530x = 285,677,604
5. Step 5: Solve for x
   x = 285,677,604/10,530
6. Step 6: Final answer
   x = 27,129.88