Finding the Third Proportional to 21,042 and 46,233

Step by Step Solution

1. Step 1: Write the proportion equation
   21,042 : 46,233 = 46,233 : x
2. Step 2: Convert to fraction form
   21,042/46,233 = 46,233/x
3. Step 3: Cross multiply
   21,042x = 46,233 × 46,233
4. Step 4: Simplify right side
   21,042x = 2,137,490,289
5. Step 5: Solve for x
   x = 2,137,490,289/21,042
6. Step 6: Final answer
   x = 101,582.09