Finding the Third Proportional to 23,678 and 50,596

Step by Step Solution

1. Step 1: Write the proportion equation
   23,678 : 50,596 = 50,596 : x
2. Step 2: Convert to fraction form
   23,678/50,596 = 50,596/x
3. Step 3: Cross multiply
   23,678x = 50,596 × 50,596
4. Step 4: Simplify right side
   23,678x = 2,559,955,216
5. Step 5: Solve for x
   x = 2,559,955,216/23,678
6. Step 6: Final answer
   x = 108,115.35