Finding the Third Proportional to 16,415 and 25,994

Step by Step Solution

1. Step 1: Write the proportion equation
   16,415 : 25,994 = 25,994 : x
2. Step 2: Convert to fraction form
   16,415/25,994 = 25,994/x
3. Step 3: Cross multiply
   16,415x = 25,994 × 25,994
4. Step 4: Simplify right side
   16,415x = 675,688,036
5. Step 5: Solve for x
   x = 675,688,036/16,415
6. Step 6: Final answer
   x = 41,162.84