Finding the Third Proportional to 25,832 and 37,824

Step by Step Solution

1. Step 1: Write the proportion equation
   25,832 : 37,824 = 37,824 : x
2. Step 2: Convert to fraction form
   25,832/37,824 = 37,824/x
3. Step 3: Cross multiply
   25,832x = 37,824 × 37,824
4. Step 4: Simplify right side
   25,832x = 1,430,654,976
5. Step 5: Solve for x
   x = 1,430,654,976/25,832
6. Step 6: Final answer
   x = 55,383.05