Finding the Third Proportional to 31,306 and 65,200

Step by Step Solution

1. Step 1: Write the proportion equation
   31,306 : 65,200 = 65,200 : x
2. Step 2: Convert to fraction form
   31,306/65,200 = 65,200/x
3. Step 3: Cross multiply
   31,306x = 65,200 × 65,200
4. Step 4: Simplify right side
   31,306x = 4,251,040,000
5. Step 5: Solve for x
   x = 4,251,040,000/31,306
6. Step 6: Final answer
   x = 135,789.94