Finding the Third Proportional to 16,040 and 34,561

Step by Step Solution

1. Step 1: Write the proportion equation
   16,040 : 34,561 = 34,561 : x
2. Step 2: Convert to fraction form
   16,040/34,561 = 34,561/x
3. Step 3: Cross multiply
   16,040x = 34,561 × 34,561
4. Step 4: Simplify right side
   16,040x = 1,194,462,721
5. Step 5: Solve for x
   x = 1,194,462,721/16,040
6. Step 6: Final answer
   x = 74,467.75