Finding the Third Proportional to 6,066 and 10,509

Step by Step Solution

1. Step 1: Write the proportion equation
   6,066 : 10,509 = 10,509 : x
2. Step 2: Convert to fraction form
   6,066/10,509 = 10,509/x
3. Step 3: Cross multiply
   6,066x = 10,509 × 10,509
4. Step 4: Simplify right side
   6,066x = 110,439,081
5. Step 5: Solve for x
   x = 110,439,081/6,066
6. Step 6: Final answer
   x = 18,206.24