Finding the Third Proportional to 21,496 and 46,682

Step by Step Solution

1. Step 1: Write the proportion equation
   21,496 : 46,682 = 46,682 : x
2. Step 2: Convert to fraction form
   21,496/46,682 = 46,682/x
3. Step 3: Cross multiply
   21,496x = 46,682 × 46,682
4. Step 4: Simplify right side
   21,496x = 2,179,209,124
5. Step 5: Solve for x
   x = 2,179,209,124/21,496
6. Step 6: Final answer
   x = 101,377.42