Finding the Third Proportional to 25,768 and 37,895

Step by Step Solution

1. Step 1: Write the proportion equation
   25,768 : 37,895 = 37,895 : x
2. Step 2: Convert to fraction form
   25,768/37,895 = 37,895/x
3. Step 3: Cross multiply
   25,768x = 37,895 × 37,895
4. Step 4: Simplify right side
   25,768x = 1,436,031,025
5. Step 5: Solve for x
   x = 1,436,031,025/25,768
6. Step 6: Final answer
   x = 55,729.24