Finding the Third Proportional to 10,282 and 13,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 13,670 = 13,670 : x
2. Step 2: Convert to fraction form
   10,282/13,670 = 13,670/x
3. Step 3: Cross multiply
   10,282x = 13,670 × 13,670
4. Step 4: Simplify right side
   10,282x = 186,868,900
5. Step 5: Solve for x
   x = 186,868,900/10,282
6. Step 6: Final answer
   x = 18,174.37