Finding the Third Proportional to 7,582 and 10,885

Step by Step Solution

1. Step 1: Write the proportion equation
   7,582 : 10,885 = 10,885 : x
2. Step 2: Convert to fraction form
   7,582/10,885 = 10,885/x
3. Step 3: Cross multiply
   7,582x = 10,885 × 10,885
4. Step 4: Simplify right side
   7,582x = 118,483,225
5. Step 5: Solve for x
   x = 118,483,225/7,582
6. Step 6: Final answer
   x = 15,626.91