Finding the Third Proportional to 30,708 and 64,196

Step by Step Solution

1. Step 1: Write the proportion equation
   30,708 : 64,196 = 64,196 : x
2. Step 2: Convert to fraction form
   30,708/64,196 = 64,196/x
3. Step 3: Cross multiply
   30,708x = 64,196 × 64,196
4. Step 4: Simplify right side
   30,708x = 4,121,126,416
5. Step 5: Solve for x
   x = 4,121,126,416/30,708
6. Step 6: Final answer
   x = 134,203.67