Finding the Third Proportional to 30,105 and 64,972

Step by Step Solution

1. Step 1: Write the proportion equation
   30,105 : 64,972 = 64,972 : x
2. Step 2: Convert to fraction form
   30,105/64,972 = 64,972/x
3. Step 3: Cross multiply
   30,105x = 64,972 × 64,972
4. Step 4: Simplify right side
   30,105x = 4,221,360,784
5. Step 5: Solve for x
   x = 4,221,360,784/30,105
6. Step 6: Final answer
   x = 140,221.25