Finding the Third Proportional to 31,914 and 65,420

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 65,420 = 65,420 : x
2. Step 2: Convert to fraction form
   31,914/65,420 = 65,420/x
3. Step 3: Cross multiply
   31,914x = 65,420 × 65,420
4. Step 4: Simplify right side
   31,914x = 4,279,776,400
5. Step 5: Solve for x
   x = 4,279,776,400/31,914
6. Step 6: Final answer
   x = 134,103.42