Finding the Third Proportional to 20,540 and 30,628

Step by Step Solution

1. Step 1: Write the proportion equation
   20,540 : 30,628 = 30,628 : x
2. Step 2: Convert to fraction form
   20,540/30,628 = 30,628/x
3. Step 3: Cross multiply
   20,540x = 30,628 × 30,628
4. Step 4: Simplify right side
   20,540x = 938,074,384
5. Step 5: Solve for x
   x = 938,074,384/20,540
6. Step 6: Final answer
   x = 45,670.61