Finding the Third Proportional to 31,216 and 65,024

Step by Step Solution

1. Step 1: Write the proportion equation
   31,216 : 65,024 = 65,024 : x
2. Step 2: Convert to fraction form
   31,216/65,024 = 65,024/x
3. Step 3: Cross multiply
   31,216x = 65,024 × 65,024
4. Step 4: Simplify right side
   31,216x = 4,228,120,576
5. Step 5: Solve for x
   x = 4,228,120,576/31,216
6. Step 6: Final answer
   x = 135,447.23