Finding the Third Proportional to 11,820 and 24,864

Step by Step Solution

1. Step 1: Write the proportion equation
   11,820 : 24,864 = 24,864 : x
2. Step 2: Convert to fraction form
   11,820/24,864 = 24,864/x
3. Step 3: Cross multiply
   11,820x = 24,864 × 24,864
4. Step 4: Simplify right side
   11,820x = 618,218,496
5. Step 5: Solve for x
   x = 618,218,496/11,820
6. Step 6: Final answer
   x = 52,302.75