Finding the Third Proportional to 25,996 and 37,048

Step by Step Solution

1. Step 1: Write the proportion equation
   25,996 : 37,048 = 37,048 : x
2. Step 2: Convert to fraction form
   25,996/37,048 = 37,048/x
3. Step 3: Cross multiply
   25,996x = 37,048 × 37,048
4. Step 4: Simplify right side
   25,996x = 1,372,554,304
5. Step 5: Solve for x
   x = 1,372,554,304/25,996
6. Step 6: Final answer
   x = 52,798.67