Finding the Third Proportional to 6,744 and 10,461

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 10,461 = 10,461 : x
2. Step 2: Convert to fraction form
   6,744/10,461 = 10,461/x
3. Step 3: Cross multiply
   6,744x = 10,461 × 10,461
4. Step 4: Simplify right side
   6,744x = 109,432,521
5. Step 5: Solve for x
   x = 109,432,521/6,744
6. Step 6: Final answer
   x = 16,226.65