Finding the Third Proportional to 15,877 and 34,576

Step by Step Solution

1. Step 1: Write the proportion equation
   15,877 : 34,576 = 34,576 : x
2. Step 2: Convert to fraction form
   15,877/34,576 = 34,576/x
3. Step 3: Cross multiply
   15,877x = 34,576 × 34,576
4. Step 4: Simplify right side
   15,877x = 1,195,499,776
5. Step 5: Solve for x
   x = 1,195,499,776/15,877
6. Step 6: Final answer
   x = 75,297.59