Finding the Third Proportional to 11,664 and 23,864

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 23,864 = 23,864 : x
2. Step 2: Convert to fraction form
   11,664/23,864 = 23,864/x
3. Step 3: Cross multiply
   11,664x = 23,864 × 23,864
4. Step 4: Simplify right side
   11,664x = 569,490,496
5. Step 5: Solve for x
   x = 569,490,496/11,664
6. Step 6: Final answer
   x = 48,824.63