Finding the Third Proportional to 30,970 and 65,936

Step by Step Solution

1. Step 1: Write the proportion equation
   30,970 : 65,936 = 65,936 : x
2. Step 2: Convert to fraction form
   30,970/65,936 = 65,936/x
3. Step 3: Cross multiply
   30,970x = 65,936 × 65,936
4. Step 4: Simplify right side
   30,970x = 4,347,556,096
5. Step 5: Solve for x
   x = 4,347,556,096/30,970
6. Step 6: Final answer
   x = 140,379.60