Finding the Third Proportional to 5,922 and 10,290

Step by Step Solution

1. Step 1: Write the proportion equation
   5,922 : 10,290 = 10,290 : x
2. Step 2: Convert to fraction form
   5,922/10,290 = 10,290/x
3. Step 3: Cross multiply
   5,922x = 10,290 × 10,290
4. Step 4: Simplify right side
   5,922x = 105,884,100
5. Step 5: Solve for x
   x = 105,884,100/5,922
6. Step 6: Final answer
   x = 17,879.79