Finding the Third Proportional to 10,330 and 13,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,330 : 13,442 = 13,442 : x
2. Step 2: Convert to fraction form
   10,330/13,442 = 13,442/x
3. Step 3: Cross multiply
   10,330x = 13,442 × 13,442
4. Step 4: Simplify right side
   10,330x = 180,687,364
5. Step 5: Solve for x
   x = 180,687,364/10,330
6. Step 6: Final answer
   x = 17,491.52