Finding the Third Proportional to 6,339 and 13,083

Step by Step Solution

1. Step 1: Write the proportion equation
   6,339 : 13,083 = 13,083 : x
2. Step 2: Convert to fraction form
   6,339/13,083 = 13,083/x
3. Step 3: Cross multiply
   6,339x = 13,083 × 13,083
4. Step 4: Simplify right side
   6,339x = 171,164,889
5. Step 5: Solve for x
   x = 171,164,889/6,339
6. Step 6: Final answer
   x = 27,001.88