Finding the Third Proportional to 10,330 and 13,440

Step by Step Solution

1. Step 1: Write the proportion equation
   10,330 : 13,440 = 13,440 : x
2. Step 2: Convert to fraction form
   10,330/13,440 = 13,440/x
3. Step 3: Cross multiply
   10,330x = 13,440 × 13,440
4. Step 4: Simplify right side
   10,330x = 180,633,600
5. Step 5: Solve for x
   x = 180,633,600/10,330
6. Step 6: Final answer
   x = 17,486.31