Finding the Third Proportional to 21,674 and 34,329

Step by Step Solution

1. Step 1: Write the proportion equation
   21,674 : 34,329 = 34,329 : x
2. Step 2: Convert to fraction form
   21,674/34,329 = 34,329/x
3. Step 3: Cross multiply
   21,674x = 34,329 × 34,329
4. Step 4: Simplify right side
   21,674x = 1,178,480,241
5. Step 5: Solve for x
   x = 1,178,480,241/21,674
6. Step 6: Final answer
   x = 54,372.99