Finding the Third Proportional to 31,417 and 65,021

Step by Step Solution

1. Step 1: Write the proportion equation
   31,417 : 65,021 = 65,021 : x
2. Step 2: Convert to fraction form
   31,417/65,021 = 65,021/x
3. Step 3: Cross multiply
   31,417x = 65,021 × 65,021
4. Step 4: Simplify right side
   31,417x = 4,227,730,441
5. Step 5: Solve for x
   x = 4,227,730,441/31,417
6. Step 6: Final answer
   x = 134,568.24