Finding the Third Proportional to 23,920 and 52,384

Step by Step Solution

1. Step 1: Write the proportion equation
   23,920 : 52,384 = 52,384 : x
2. Step 2: Convert to fraction form
   23,920/52,384 = 52,384/x
3. Step 3: Cross multiply
   23,920x = 52,384 × 52,384
4. Step 4: Simplify right side
   23,920x = 2,744,083,456
5. Step 5: Solve for x
   x = 2,744,083,456/23,920
6. Step 6: Final answer
   x = 114,719.21