Finding the Third Proportional to 10,892 and 24,213

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892 : 24,213 = 24,213 : x
2. Step 2: Convert to fraction form
   10,892/24,213 = 24,213/x
3. Step 3: Cross multiply
   10,892x = 24,213 × 24,213
4. Step 4: Simplify right side
   10,892x = 586,269,369
5. Step 5: Solve for x
   x = 586,269,369/10,892
6. Step 6: Final answer
   x = 53,825.69