Finding the Third Proportional to 12,096 and 24,804

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 24,804 = 24,804 : x
2. Step 2: Convert to fraction form
   12,096/24,804 = 24,804/x
3. Step 3: Cross multiply
   12,096x = 24,804 × 24,804
4. Step 4: Simplify right side
   12,096x = 615,238,416
5. Step 5: Solve for x
   x = 615,238,416/12,096
6. Step 6: Final answer
   x = 50,862.96