Finding the Third Proportional to 10,638 and 23,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 23,184 = 23,184 : x
2. Step 2: Convert to fraction form
   10,638/23,184 = 23,184/x
3. Step 3: Cross multiply
   10,638x = 23,184 × 23,184
4. Step 4: Simplify right side
   10,638x = 537,497,856
5. Step 5: Solve for x
   x = 537,497,856/10,638
6. Step 6: Final answer
   x = 50,526.21