Finding the Third Proportional to 2,416 and 5,290

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416 : 5,290 = 5,290 : x
2. Step 2: Convert to fraction form
   2,416/5,290 = 5,290/x
3. Step 3: Cross multiply
   2,416x = 5,290 × 5,290
4. Step 4: Simplify right side
   2,416x = 27,984,100
5. Step 5: Solve for x
   x = 27,984,100/2,416
6. Step 6: Final answer
   x = 11,582.82