Finding the Third Proportional to 30,821 and 65,858

Step by Step Solution

1. Step 1: Write the proportion equation
   30,821 : 65,858 = 65,858 : x
2. Step 2: Convert to fraction form
   30,821/65,858 = 65,858/x
3. Step 3: Cross multiply
   30,821x = 65,858 × 65,858
4. Step 4: Simplify right side
   30,821x = 4,337,276,164
5. Step 5: Solve for x
   x = 4,337,276,164/30,821
6. Step 6: Final answer
   x = 140,724.71