Finding the Third Proportional to 6,189 and 13,506

Step by Step Solution

1. Step 1: Write the proportion equation
   6,189 : 13,506 = 13,506 : x
2. Step 2: Convert to fraction form
   6,189/13,506 = 13,506/x
3. Step 3: Cross multiply
   6,189x = 13,506 × 13,506
4. Step 4: Simplify right side
   6,189x = 182,412,036
5. Step 5: Solve for x
   x = 182,412,036/6,189
6. Step 6: Final answer
   x = 29,473.59