Finding the Third Proportional to 25,920 and 34,736

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 34,736 = 34,736 : x
2. Step 2: Convert to fraction form
   25,920/34,736 = 34,736/x
3. Step 3: Cross multiply
   25,920x = 34,736 × 34,736
4. Step 4: Simplify right side
   25,920x = 1,206,589,696
5. Step 5: Solve for x
   x = 1,206,589,696/25,920
6. Step 6: Final answer
   x = 46,550.53