Finding the Third Proportional to 31,300 and 65,200

Step by Step Solution

1. Step 1: Write the proportion equation
   31,300 : 65,200 = 65,200 : x
2. Step 2: Convert to fraction form
   31,300/65,200 = 65,200/x
3. Step 3: Cross multiply
   31,300x = 65,200 × 65,200
4. Step 4: Simplify right side
   31,300x = 4,251,040,000
5. Step 5: Solve for x
   x = 4,251,040,000/31,300
6. Step 6: Final answer
   x = 135,815.97