Finding the Third Proportional to 7,148 and 10,582

Step by Step Solution

1. Step 1: Write the proportion equation
   7,148 : 10,582 = 10,582 : x
2. Step 2: Convert to fraction form
   7,148/10,582 = 10,582/x
3. Step 3: Cross multiply
   7,148x = 10,582 × 10,582
4. Step 4: Simplify right side
   7,148x = 111,978,724
5. Step 5: Solve for x
   x = 111,978,724/7,148
6. Step 6: Final answer
   x = 15,665.74