Finding the Third Proportional to 11,184 and 24,231

Step by Step Solution

1. Step 1: Write the proportion equation
   11,184 : 24,231 = 24,231 : x
2. Step 2: Convert to fraction form
   11,184/24,231 = 24,231/x
3. Step 3: Cross multiply
   11,184x = 24,231 × 24,231
4. Step 4: Simplify right side
   11,184x = 587,141,361
5. Step 5: Solve for x
   x = 587,141,361/11,184
6. Step 6: Final answer
   x = 52,498.33