Finding the Third Proportional to 20,505 and 31,305

Step by Step Solution

1. Step 1: Write the proportion equation
   20,505 : 31,305 = 31,305 : x
2. Step 2: Convert to fraction form
   20,505/31,305 = 31,305/x
3. Step 3: Cross multiply
   20,505x = 31,305 × 31,305
4. Step 4: Simplify right side
   20,505x = 980,003,025
5. Step 5: Solve for x
   x = 980,003,025/20,505
6. Step 6: Final answer
   x = 47,793.37