Finding the Third Proportional to 23,685 and 34,218

Step by Step Solution

1. Step 1: Write the proportion equation
   23,685 : 34,218 = 34,218 : x
2. Step 2: Convert to fraction form
   23,685/34,218 = 34,218/x
3. Step 3: Cross multiply
   23,685x = 34,218 × 34,218
4. Step 4: Simplify right side
   23,685x = 1,170,871,524
5. Step 5: Solve for x
   x = 1,170,871,524/23,685
6. Step 6: Final answer
   x = 49,435.15