Finding the Third Proportional to 20,576 and 31,308

Step by Step Solution

1. Step 1: Write the proportion equation
   20,576 : 31,308 = 31,308 : x
2. Step 2: Convert to fraction form
   20,576/31,308 = 31,308/x
3. Step 3: Cross multiply
   20,576x = 31,308 × 31,308
4. Step 4: Simplify right side
   20,576x = 980,190,864
5. Step 5: Solve for x
   x = 980,190,864/20,576
6. Step 6: Final answer
   x = 47,637.58