Finding the Third Proportional to 30,609 and 62,514

Step by Step Solution

1. Step 1: Write the proportion equation
   30,609 : 62,514 = 62,514 : x
2. Step 2: Convert to fraction form
   30,609/62,514 = 62,514/x
3. Step 3: Cross multiply
   30,609x = 62,514 × 62,514
4. Step 4: Simplify right side
   30,609x = 3,908,000,196
5. Step 5: Solve for x
   x = 3,908,000,196/30,609
6. Step 6: Final answer
   x = 127,674.87