Finding the Third Proportional to 16,374 and 25,967

Step by Step Solution

1. Step 1: Write the proportion equation
   16,374 : 25,967 = 25,967 : x
2. Step 2: Convert to fraction form
   16,374/25,967 = 25,967/x
3. Step 3: Cross multiply
   16,374x = 25,967 × 25,967
4. Step 4: Simplify right side
   16,374x = 674,285,089
5. Step 5: Solve for x
   x = 674,285,089/16,374
6. Step 6: Final answer
   x = 41,180.23