Finding the Third Proportional to 30,214 and 64,800

Step by Step Solution

1. Step 1: Write the proportion equation
   30,214 : 64,800 = 64,800 : x
2. Step 2: Convert to fraction form
   30,214/64,800 = 64,800/x
3. Step 3: Cross multiply
   30,214x = 64,800 × 64,800
4. Step 4: Simplify right side
   30,214x = 4,199,040,000
5. Step 5: Solve for x
   x = 4,199,040,000/30,214
6. Step 6: Final answer
   x = 138,976.63