Finding the Third Proportional to 21,778 and 34,530

Step by Step Solution

1. Step 1: Write the proportion equation
   21,778 : 34,530 = 34,530 : x
2. Step 2: Convert to fraction form
   21,778/34,530 = 34,530/x
3. Step 3: Cross multiply
   21,778x = 34,530 × 34,530
4. Step 4: Simplify right side
   21,778x = 1,192,320,900
5. Step 5: Solve for x
   x = 1,192,320,900/21,778
6. Step 6: Final answer
   x = 54,748.87