Finding the Third Proportional to 6,446 and 10,045

Step by Step Solution

1. Step 1: Write the proportion equation
   6,446 : 10,045 = 10,045 : x
2. Step 2: Convert to fraction form
   6,446/10,045 = 10,045/x
3. Step 3: Cross multiply
   6,446x = 10,045 × 10,045
4. Step 4: Simplify right side
   6,446x = 100,902,025
5. Step 5: Solve for x
   x = 100,902,025/6,446
6. Step 6: Final answer
   x = 15,653.43