Finding the Third Proportional to 30,120 and 64,424

Step by Step Solution

1. Step 1: Write the proportion equation
   30,120 : 64,424 = 64,424 : x
2. Step 2: Convert to fraction form
   30,120/64,424 = 64,424/x
3. Step 3: Cross multiply
   30,120x = 64,424 × 64,424
4. Step 4: Simplify right side
   30,120x = 4,150,451,776
5. Step 5: Solve for x
   x = 4,150,451,776/30,120
6. Step 6: Final answer
   x = 137,797.20