Finding the Third Proportional to 6,546 and 13,470

Step by Step Solution

1. Step 1: Write the proportion equation
   6,546 : 13,470 = 13,470 : x
2. Step 2: Convert to fraction form
   6,546/13,470 = 13,470/x
3. Step 3: Cross multiply
   6,546x = 13,470 × 13,470
4. Step 4: Simplify right side
   6,546x = 181,440,900
5. Step 5: Solve for x
   x = 181,440,900/6,546
6. Step 6: Final answer
   x = 27,717.83