Finding the Third Proportional to 10,636 and 14,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636 : 14,184 = 14,184 : x
2. Step 2: Convert to fraction form
   10,636/14,184 = 14,184/x
3. Step 3: Cross multiply
   10,636x = 14,184 × 14,184
4. Step 4: Simplify right side
   10,636x = 201,185,856
5. Step 5: Solve for x
   x = 201,185,856/10,636
6. Step 6: Final answer
   x = 18,915.56