Finding the Third Proportional to 23,533 and 55,193

Step by Step Solution

1. Step 1: Write the proportion equation
   23,533 : 55,193 = 55,193 : x
2. Step 2: Convert to fraction form
   23,533/55,193 = 55,193/x
3. Step 3: Cross multiply
   23,533x = 55,193 × 55,193
4. Step 4: Simplify right side
   23,533x = 3,046,267,249
5. Step 5: Solve for x
   x = 3,046,267,249/23,533
6. Step 6: Final answer
   x = 129,446.62