Finding the Third Proportional to 16,980 and 25,470

Step by Step Solution

1. Step 1: Write the proportion equation
   16,980 : 25,470 = 25,470 : x
2. Step 2: Convert to fraction form
   16,980/25,470 = 25,470/x
3. Step 3: Cross multiply
   16,980x = 25,470 × 25,470
4. Step 4: Simplify right side
   16,980x = 648,720,900
5. Step 5: Solve for x
   x = 648,720,900/16,980
6. Step 6: Final answer
   x = 38,205