Finding the Third Proportional to 5,409 and 10,062

Step by Step Solution

1. Step 1: Write the proportion equation
   5,409 : 10,062 = 10,062 : x
2. Step 2: Convert to fraction form
   5,409/10,062 = 10,062/x
3. Step 3: Cross multiply
   5,409x = 10,062 × 10,062
4. Step 4: Simplify right side
   5,409x = 101,243,844
5. Step 5: Solve for x
   x = 101,243,844/5,409
6. Step 6: Final answer
   x = 18,717.66