Finding the Third Proportional to 6,567 and 12,783

Step by Step Solution

1. Step 1: Write the proportion equation
   6,567 : 12,783 = 12,783 : x
2. Step 2: Convert to fraction form
   6,567/12,783 = 12,783/x
3. Step 3: Cross multiply
   6,567x = 12,783 × 12,783
4. Step 4: Simplify right side
   6,567x = 163,405,089
5. Step 5: Solve for x
   x = 163,405,089/6,567
6. Step 6: Final answer
   x = 24,882.76