Finding the Third Proportional to 10,384 and 23,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 23,848 = 23,848 : x
2. Step 2: Convert to fraction form
   10,384/23,848 = 23,848/x
3. Step 3: Cross multiply
   10,384x = 23,848 × 23,848
4. Step 4: Simplify right side
   10,384x = 568,727,104
5. Step 5: Solve for x
   x = 568,727,104/10,384
6. Step 6: Final answer
   x = 54,769.56