Finding the Third Proportional to 11,590 and 25,024

Step by Step Solution

1. Step 1: Write the proportion equation
   11,590 : 25,024 = 25,024 : x
2. Step 2: Convert to fraction form
   11,590/25,024 = 25,024/x
3. Step 3: Cross multiply
   11,590x = 25,024 × 25,024
4. Step 4: Simplify right side
   11,590x = 626,200,576
5. Step 5: Solve for x
   x = 626,200,576/11,590
6. Step 6: Final answer
   x = 54,029.39