Finding the Third Proportional to 6,003 and 12,829

Step by Step Solution

1. Step 1: Write the proportion equation
   6,003 : 12,829 = 12,829 : x
2. Step 2: Convert to fraction form
   6,003/12,829 = 12,829/x
3. Step 3: Cross multiply
   6,003x = 12,829 × 12,829
4. Step 4: Simplify right side
   6,003x = 164,583,241
5. Step 5: Solve for x
   x = 164,583,241/6,003
6. Step 6: Final answer
   x = 27,416.83