Finding the Third Proportional to 10,856 and 24,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 24,184 = 24,184 : x
2. Step 2: Convert to fraction form
   10,856/24,184 = 24,184/x
3. Step 3: Cross multiply
   10,856x = 24,184 × 24,184
4. Step 4: Simplify right side
   10,856x = 584,865,856
5. Step 5: Solve for x
   x = 584,865,856/10,856
6. Step 6: Final answer
   x = 53,874.89