Finding the Third Proportional to 16,576 and 25,024

Step by Step Solution

1. Step 1: Write the proportion equation
   16,576 : 25,024 = 25,024 : x
2. Step 2: Convert to fraction form
   16,576/25,024 = 25,024/x
3. Step 3: Cross multiply
   16,576x = 25,024 × 25,024
4. Step 4: Simplify right side
   16,576x = 626,200,576
5. Step 5: Solve for x
   x = 626,200,576/16,576
6. Step 6: Final answer
   x = 37,777.54