Finding the Third Proportional to 21,834 and 46,782

Step by Step Solution

1. Step 1: Write the proportion equation
   21,834 : 46,782 = 46,782 : x
2. Step 2: Convert to fraction form
   21,834/46,782 = 46,782/x
3. Step 3: Cross multiply
   21,834x = 46,782 × 46,782
4. Step 4: Simplify right side
   21,834x = 2,188,555,524
5. Step 5: Solve for x
   x = 2,188,555,524/21,834
6. Step 6: Final answer
   x = 100,236.12