Finding the Third Proportional to 41,834 and 58,514

Step by Step Solution

1. Step 1: Write the proportion equation
   41,834 : 58,514 = 58,514 : x
2. Step 2: Convert to fraction form
   41,834/58,514 = 58,514/x
3. Step 3: Cross multiply
   41,834x = 58,514 × 58,514
4. Step 4: Simplify right side
   41,834x = 3,423,888,196
5. Step 5: Solve for x
   x = 3,423,888,196/41,834
6. Step 6: Final answer
   x = 81,844.63