Finding the Third Proportional to 31,336 and 65,228

Step by Step Solution

1. Step 1: Write the proportion equation
   31,336 : 65,228 = 65,228 : x
2. Step 2: Convert to fraction form
   31,336/65,228 = 65,228/x
3. Step 3: Cross multiply
   31,336x = 65,228 × 65,228
4. Step 4: Simplify right side
   31,336x = 4,254,691,984
5. Step 5: Solve for x
   x = 4,254,691,984/31,336
6. Step 6: Final answer
   x = 135,776.49