Finding the Third Proportional to 10,176 and 13,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 13,582 = 13,582 : x
2. Step 2: Convert to fraction form
   10,176/13,582 = 13,582/x
3. Step 3: Cross multiply
   10,176x = 13,582 × 13,582
4. Step 4: Simplify right side
   10,176x = 184,470,724
5. Step 5: Solve for x
   x = 184,470,724/10,176
6. Step 6: Final answer
   x = 18,128.02