Finding the Third Proportional to 23,138 and 50,692

Step by Step Solution

1. Step 1: Write the proportion equation
   23,138 : 50,692 = 50,692 : x
2. Step 2: Convert to fraction form
   23,138/50,692 = 50,692/x
3. Step 3: Cross multiply
   23,138x = 50,692 × 50,692
4. Step 4: Simplify right side
   23,138x = 2,569,678,864
5. Step 5: Solve for x
   x = 2,569,678,864/23,138
6. Step 6: Final answer
   x = 111,058.82