Finding the Third Proportional to 30,300 and 64,811

Step by Step Solution

1. Step 1: Write the proportion equation
   30,300 : 64,811 = 64,811 : x
2. Step 2: Convert to fraction form
   30,300/64,811 = 64,811/x
3. Step 3: Cross multiply
   30,300x = 64,811 × 64,811
4. Step 4: Simplify right side
   30,300x = 4,200,465,721
5. Step 5: Solve for x
   x = 4,200,465,721/30,300
6. Step 6: Final answer
   x = 138,629.23