Finding the Third Proportional to 23,584 and 50,864

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 50,864 = 50,864 : x
2. Step 2: Convert to fraction form
   23,584/50,864 = 50,864/x
3. Step 3: Cross multiply
   23,584x = 50,864 × 50,864
4. Step 4: Simplify right side
   23,584x = 2,587,146,496
5. Step 5: Solve for x
   x = 2,587,146,496/23,584
6. Step 6: Final answer
   x = 109,699.22