Finding the Third Proportional to 21,414 and 34,105

Step by Step Solution

1. Step 1: Write the proportion equation
   21,414 : 34,105 = 34,105 : x
2. Step 2: Convert to fraction form
   21,414/34,105 = 34,105/x
3. Step 3: Cross multiply
   21,414x = 34,105 × 34,105
4. Step 4: Simplify right side
   21,414x = 1,163,151,025
5. Step 5: Solve for x
   x = 1,163,151,025/21,414
6. Step 6: Final answer
   x = 54,317.32