Finding the Third Proportional to 14,576 and 31,747

Step by Step Solution

1. Step 1: Write the proportion equation
   14,576 : 31,747 = 31,747 : x
2. Step 2: Convert to fraction form
   14,576/31,747 = 31,747/x
3. Step 3: Cross multiply
   14,576x = 31,747 × 31,747
4. Step 4: Simplify right side
   14,576x = 1,007,872,009
5. Step 5: Solve for x
   x = 1,007,872,009/14,576
6. Step 6: Final answer
   x = 69,145.99