Finding the Third Proportional to 20,577 and 30,730

Step by Step Solution

1. Step 1: Write the proportion equation
   20,577 : 30,730 = 30,730 : x
2. Step 2: Convert to fraction form
   20,577/30,730 = 30,730/x
3. Step 3: Cross multiply
   20,577x = 30,730 × 30,730
4. Step 4: Simplify right side
   20,577x = 944,332,900
5. Step 5: Solve for x
   x = 944,332,900/20,577
6. Step 6: Final answer
   x = 45,892.64