Finding the Third Proportional to 2,024 and 4,892

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024 : 4,892 = 4,892 : x
2. Step 2: Convert to fraction form
   2,024/4,892 = 4,892/x
3. Step 3: Cross multiply
   2,024x = 4,892 × 4,892
4. Step 4: Simplify right side
   2,024x = 23,931,664
5. Step 5: Solve for x
   x = 23,931,664/2,024
6. Step 6: Final answer
   x = 11,823.94