Finding the Third Proportional to 6,179 and 13,510

Step by Step Solution

1. Step 1: Write the proportion equation
   6,179 : 13,510 = 13,510 : x
2. Step 2: Convert to fraction form
   6,179/13,510 = 13,510/x
3. Step 3: Cross multiply
   6,179x = 13,510 × 13,510
4. Step 4: Simplify right side
   6,179x = 182,520,100
5. Step 5: Solve for x
   x = 182,520,100/6,179
6. Step 6: Final answer
   x = 29,538.78