Finding the Third Proportional to 6,137 and 13,004

Step by Step Solution

1. Step 1: Write the proportion equation
   6,137 : 13,004 = 13,004 : x
2. Step 2: Convert to fraction form
   6,137/13,004 = 13,004/x
3. Step 3: Cross multiply
   6,137x = 13,004 × 13,004
4. Step 4: Simplify right side
   6,137x = 169,104,016
5. Step 5: Solve for x
   x = 169,104,016/6,137
6. Step 6: Final answer
   x = 27,554.83