Finding the Third Proportional to 5,090 and 10,582

Step by Step Solution

1. Step 1: Write the proportion equation
   5,090 : 10,582 = 10,582 : x
2. Step 2: Convert to fraction form
   5,090/10,582 = 10,582/x
3. Step 3: Cross multiply
   5,090x = 10,582 × 10,582
4. Step 4: Simplify right side
   5,090x = 111,978,724
5. Step 5: Solve for x
   x = 111,978,724/5,090
6. Step 6: Final answer
   x = 21,999.75