Finding the Third Proportional to 25,378 and 37,920

Step by Step Solution

1. Step 1: Write the proportion equation
   25,378 : 37,920 = 37,920 : x
2. Step 2: Convert to fraction form
   25,378/37,920 = 37,920/x
3. Step 3: Cross multiply
   25,378x = 37,920 × 37,920
4. Step 4: Simplify right side
   25,378x = 1,437,926,400
5. Step 5: Solve for x
   x = 1,437,926,400/25,378
6. Step 6: Final answer
   x = 56,660.35