Finding the Third Proportional to 30,395 and 65,830

Step by Step Solution

1. Step 1: Write the proportion equation
   30,395 : 65,830 = 65,830 : x
2. Step 2: Convert to fraction form
   30,395/65,830 = 65,830/x
3. Step 3: Cross multiply
   30,395x = 65,830 × 65,830
4. Step 4: Simplify right side
   30,395x = 4,333,588,900
5. Step 5: Solve for x
   x = 4,333,588,900/30,395
6. Step 6: Final answer
   x = 142,575.72