Finding the Third Proportional to 20,576 and 31,719

Step by Step Solution

1. Step 1: Write the proportion equation
   20,576 : 31,719 = 31,719 : x
2. Step 2: Convert to fraction form
   20,576/31,719 = 31,719/x
3. Step 3: Cross multiply
   20,576x = 31,719 × 31,719
4. Step 4: Simplify right side
   20,576x = 1,006,094,961
5. Step 5: Solve for x
   x = 1,006,094,961/20,576
6. Step 6: Final answer
   x = 48,896.53