Finding the Third Proportional to 5,842 and 10,496

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842 : 10,496 = 10,496 : x
2. Step 2: Convert to fraction form
   5,842/10,496 = 10,496/x
3. Step 3: Cross multiply
   5,842x = 10,496 × 10,496
4. Step 4: Simplify right side
   5,842x = 110,166,016
5. Step 5: Solve for x
   x = 110,166,016/5,842
6. Step 6: Final answer
   x = 18,857.59