Finding the Third Proportional to 22,757 and 34,454

Step by Step Solution

1. Step 1: Write the proportion equation
   22,757 : 34,454 = 34,454 : x
2. Step 2: Convert to fraction form
   22,757/34,454 = 34,454/x
3. Step 3: Cross multiply
   22,757x = 34,454 × 34,454
4. Step 4: Simplify right side
   22,757x = 1,187,078,116
5. Step 5: Solve for x
   x = 1,187,078,116/22,757
6. Step 6: Final answer
   x = 52,163.21