Finding the Third Proportional to 30,149 and 65,488

Step by Step Solution

1. Step 1: Write the proportion equation
   30,149 : 65,488 = 65,488 : x
2. Step 2: Convert to fraction form
   30,149/65,488 = 65,488/x
3. Step 3: Cross multiply
   30,149x = 65,488 × 65,488
4. Step 4: Simplify right side
   30,149x = 4,288,678,144
5. Step 5: Solve for x
   x = 4,288,678,144/30,149
6. Step 6: Final answer
   x = 142,249.43