Finding the Third Proportional to 31,214 and 65,020

Step by Step Solution

1. Step 1: Write the proportion equation
   31,214 : 65,020 = 65,020 : x
2. Step 2: Convert to fraction form
   31,214/65,020 = 65,020/x
3. Step 3: Cross multiply
   31,214x = 65,020 × 65,020
4. Step 4: Simplify right side
   31,214x = 4,227,600,400
5. Step 5: Solve for x
   x = 4,227,600,400/31,214
6. Step 6: Final answer
   x = 135,439.24