Finding the Third Proportional to 21,977 and 34,059

Step by Step Solution

1. Step 1: Write the proportion equation
   21,977 : 34,059 = 34,059 : x
2. Step 2: Convert to fraction form
   21,977/34,059 = 34,059/x
3. Step 3: Cross multiply
   21,977x = 34,059 × 34,059
4. Step 4: Simplify right side
   21,977x = 1,160,015,481
5. Step 5: Solve for x
   x = 1,160,015,481/21,977
6. Step 6: Final answer
   x = 52,783.16