Finding the Third Proportional to 25,580 and 37,533

Step by Step Solution

1. Step 1: Write the proportion equation
   25,580 : 37,533 = 37,533 : x
2. Step 2: Convert to fraction form
   25,580/37,533 = 37,533/x
3. Step 3: Cross multiply
   25,580x = 37,533 × 37,533
4. Step 4: Simplify right side
   25,580x = 1,408,726,089
5. Step 5: Solve for x
   x = 1,408,726,089/25,580
6. Step 6: Final answer
   x = 55,071.39