Finding the Third Proportional to 21,408 and 34,094

Step by Step Solution

1. Step 1: Write the proportion equation
   21,408 : 34,094 = 34,094 : x
2. Step 2: Convert to fraction form
   21,408/34,094 = 34,094/x
3. Step 3: Cross multiply
   21,408x = 34,094 × 34,094
4. Step 4: Simplify right side
   21,408x = 1,162,400,836
5. Step 5: Solve for x
   x = 1,162,400,836/21,408
6. Step 6: Final answer
   x = 54,297.50