Finding the Third Proportional to 6,181 and 13,099

Step by Step Solution

1. Step 1: Write the proportion equation
   6,181 : 13,099 = 13,099 : x
2. Step 2: Convert to fraction form
   6,181/13,099 = 13,099/x
3. Step 3: Cross multiply
   6,181x = 13,099 × 13,099
4. Step 4: Simplify right side
   6,181x = 171,583,801
5. Step 5: Solve for x
   x = 171,583,801/6,181
6. Step 6: Final answer
   x = 27,759.88