Finding the Third Proportional to 30,709 and 64,514

Step by Step Solution

1. Step 1: Write the proportion equation
   30,709 : 64,514 = 64,514 : x
2. Step 2: Convert to fraction form
   30,709/64,514 = 64,514/x
3. Step 3: Cross multiply
   30,709x = 64,514 × 64,514
4. Step 4: Simplify right side
   30,709x = 4,162,056,196
5. Step 5: Solve for x
   x = 4,162,056,196/30,709
6. Step 6: Final answer
   x = 135,532.13