Finding the Third Proportional to 25,920 and 37,620

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 37,620 = 37,620 : x
2. Step 2: Convert to fraction form
   25,920/37,620 = 37,620/x
3. Step 3: Cross multiply
   25,920x = 37,620 × 37,620
4. Step 4: Simplify right side
   25,920x = 1,415,264,400
5. Step 5: Solve for x
   x = 1,415,264,400/25,920
6. Step 6: Final answer
   x = 54,601.25