Finding the Third Proportional to 20,580 and 30,734

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580 : 30,734 = 30,734 : x
2. Step 2: Convert to fraction form
   20,580/30,734 = 30,734/x
3. Step 3: Cross multiply
   20,580x = 30,734 × 30,734
4. Step 4: Simplify right side
   20,580x = 944,578,756
5. Step 5: Solve for x
   x = 944,578,756/20,580
6. Step 6: Final answer
   x = 45,897.90