Finding the Third Proportional to 21,414 and 34,101

Step by Step Solution

1. Step 1: Write the proportion equation
   21,414 : 34,101 = 34,101 : x
2. Step 2: Convert to fraction form
   21,414/34,101 = 34,101/x
3. Step 3: Cross multiply
   21,414x = 34,101 × 34,101
4. Step 4: Simplify right side
   21,414x = 1,162,878,201
5. Step 5: Solve for x
   x = 1,162,878,201/21,414
6. Step 6: Final answer
   x = 54,304.58