Finding the Third Proportional to 30,961 and 65,918

Step by Step Solution

1. Step 1: Write the proportion equation
   30,961 : 65,918 = 65,918 : x
2. Step 2: Convert to fraction form
   30,961/65,918 = 65,918/x
3. Step 3: Cross multiply
   30,961x = 65,918 × 65,918
4. Step 4: Simplify right side
   30,961x = 4,345,182,724
5. Step 5: Solve for x
   x = 4,345,182,724/30,961
6. Step 6: Final answer
   x = 140,343.75