Finding the Third Proportional to 21,774 and 34,524

Step by Step Solution

1. Step 1: Write the proportion equation
   21,774 : 34,524 = 34,524 : x
2. Step 2: Convert to fraction form
   21,774/34,524 = 34,524/x
3. Step 3: Cross multiply
   21,774x = 34,524 × 34,524
4. Step 4: Simplify right side
   21,774x = 1,191,906,576
5. Step 5: Solve for x
   x = 1,191,906,576/21,774
6. Step 6: Final answer
   x = 54,739.90