Finding the Third Proportional to 25,665 and 37,608

Step by Step Solution

1. Step 1: Write the proportion equation
   25,665 : 37,608 = 37,608 : x
2. Step 2: Convert to fraction form
   25,665/37,608 = 37,608/x
3. Step 3: Cross multiply
   25,665x = 37,608 × 37,608
4. Step 4: Simplify right side
   25,665x = 1,414,361,664
5. Step 5: Solve for x
   x = 1,414,361,664/25,665
6. Step 6: Final answer
   x = 55,108.58