Finding the Third Proportional to 21,838 and 30,742

Step by Step Solution

1. Step 1: Write the proportion equation
   21,838 : 30,742 = 30,742 : x
2. Step 2: Convert to fraction form
   21,838/30,742 = 30,742/x
3. Step 3: Cross multiply
   21,838x = 30,742 × 30,742
4. Step 4: Simplify right side
   21,838x = 945,070,564
5. Step 5: Solve for x
   x = 945,070,564/21,838
6. Step 6: Final answer
   x = 43,276.42