Finding the Third Proportional to 31,212 and 65,016

Step by Step Solution

1. Step 1: Write the proportion equation
   31,212 : 65,016 = 65,016 : x
2. Step 2: Convert to fraction form
   31,212/65,016 = 65,016/x
3. Step 3: Cross multiply
   31,212x = 65,016 × 65,016
4. Step 4: Simplify right side
   31,212x = 4,227,080,256
5. Step 5: Solve for x
   x = 4,227,080,256/31,212
6. Step 6: Final answer
   x = 135,431.25