Finding the Third Proportional to 6,003 and 12,895

Step by Step Solution

1. Step 1: Write the proportion equation
   6,003 : 12,895 = 12,895 : x
2. Step 2: Convert to fraction form
   6,003/12,895 = 12,895/x
3. Step 3: Cross multiply
   6,003x = 12,895 × 12,895
4. Step 4: Simplify right side
   6,003x = 166,281,025
5. Step 5: Solve for x
   x = 166,281,025/6,003
6. Step 6: Final answer
   x = 27,699.65