Finding the Third Proportional to 65,344 and 103,524

Step by Step Solution

1. Step 1: Write the proportion equation
   65,344 : 103,524 = 103,524 : x
2. Step 2: Convert to fraction form
   65,344/103,524 = 103,524/x
3. Step 3: Cross multiply
   65,344x = 103,524 × 103,524
4. Step 4: Simplify right side
   65,344x = 10,717,218,576
5. Step 5: Solve for x
   x = 10,717,218,576/65,344
6. Step 6: Final answer
   x = 164,012.28