Finding the Third Proportional to 6,478 and 10,003

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478 : 10,003 = 10,003 : x
2. Step 2: Convert to fraction form
   6,478/10,003 = 10,003/x
3. Step 3: Cross multiply
   6,478x = 10,003 × 10,003
4. Step 4: Simplify right side
   6,478x = 100,060,009
5. Step 5: Solve for x
   x = 100,060,009/6,478
6. Step 6: Final answer
   x = 15,446.13