Finding the Third Proportional to 23,850 and 51,678

Step by Step Solution

1. Step 1: Write the proportion equation
   23,850 : 51,678 = 51,678 : x
2. Step 2: Convert to fraction form
   23,850/51,678 = 51,678/x
3. Step 3: Cross multiply
   23,850x = 51,678 × 51,678
4. Step 4: Simplify right side
   23,850x = 2,670,615,684
5. Step 5: Solve for x
   x = 2,670,615,684/23,850
6. Step 6: Final answer
   x = 111,975.50