Finding the Third Proportional to 10,864 and 23,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 23,840 = 23,840 : x
2. Step 2: Convert to fraction form
   10,864/23,840 = 23,840/x
3. Step 3: Cross multiply
   10,864x = 23,840 × 23,840
4. Step 4: Simplify right side
   10,864x = 568,345,600
5. Step 5: Solve for x
   x = 568,345,600/10,864
6. Step 6: Final answer
   x = 52,314.58