Finding the Third Proportional to 10,042 and 13,410

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042 : 13,410 = 13,410 : x
2. Step 2: Convert to fraction form
   10,042/13,410 = 13,410/x
3. Step 3: Cross multiply
   10,042x = 13,410 × 13,410
4. Step 4: Simplify right side
   10,042x = 179,828,100
5. Step 5: Solve for x
   x = 179,828,100/10,042
6. Step 6: Final answer
   x = 17,907.60