Finding the Third Proportional to 10,536 and 16,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 16,082 = 16,082 : x
2. Step 2: Convert to fraction form
   10,536/16,082 = 16,082/x
3. Step 3: Cross multiply
   10,536x = 16,082 × 16,082
4. Step 4: Simplify right side
   10,536x = 258,630,724
5. Step 5: Solve for x
   x = 258,630,724/10,536
6. Step 6: Final answer
   x = 24,547.34