Finding the Third Proportional to 23,840 and 52,456

Step by Step Solution

1. Step 1: Write the proportion equation
   23,840 : 52,456 = 52,456 : x
2. Step 2: Convert to fraction form
   23,840/52,456 = 52,456/x
3. Step 3: Cross multiply
   23,840x = 52,456 × 52,456
4. Step 4: Simplify right side
   23,840x = 2,751,631,936
5. Step 5: Solve for x
   x = 2,751,631,936/23,840
6. Step 6: Final answer
   x = 115,420.80