Finding the Third Proportional to 6,807 and 12,561

Step by Step Solution

1. Step 1: Write the proportion equation
   6,807 : 12,561 = 12,561 : x
2. Step 2: Convert to fraction form
   6,807/12,561 = 12,561/x
3. Step 3: Cross multiply
   6,807x = 12,561 × 12,561
4. Step 4: Simplify right side
   6,807x = 157,778,721
5. Step 5: Solve for x
   x = 157,778,721/6,807
6. Step 6: Final answer
   x = 23,178.89