Finding the Third Proportional to 25,524 and 37,420

Step by Step Solution

1. Step 1: Write the proportion equation
   25,524 : 37,420 = 37,420 : x
2. Step 2: Convert to fraction form
   25,524/37,420 = 37,420/x
3. Step 3: Cross multiply
   25,524x = 37,420 × 37,420
4. Step 4: Simplify right side
   25,524x = 1,400,256,400
5. Step 5: Solve for x
   x = 1,400,256,400/25,524
6. Step 6: Final answer
   x = 54,860.38