Finding the Third Proportional to 21,540 and 46,540

Step by Step Solution

1. Step 1: Write the proportion equation
   21,540 : 46,540 = 46,540 : x
2. Step 2: Convert to fraction form
   21,540/46,540 = 46,540/x
3. Step 3: Cross multiply
   21,540x = 46,540 × 46,540
4. Step 4: Simplify right side
   21,540x = 2,165,971,600
5. Step 5: Solve for x
   x = 2,165,971,600/21,540
6. Step 6: Final answer
   x = 100,555.78