Finding the Third Proportional to 6,546 and 12,786

Step by Step Solution

1. Step 1: Write the proportion equation
   6,546 : 12,786 = 12,786 : x
2. Step 2: Convert to fraction form
   6,546/12,786 = 12,786/x
3. Step 3: Cross multiply
   6,546x = 12,786 × 12,786
4. Step 4: Simplify right side
   6,546x = 163,481,796
5. Step 5: Solve for x
   x = 163,481,796/6,546
6. Step 6: Final answer
   x = 24,974.30