Finding the Third Proportional to 30,684 and 65,736

Step by Step Solution

1. Step 1: Write the proportion equation
   30,684 : 65,736 = 65,736 : x
2. Step 2: Convert to fraction form
   30,684/65,736 = 65,736/x
3. Step 3: Cross multiply
   30,684x = 65,736 × 65,736
4. Step 4: Simplify right side
   30,684x = 4,321,221,696
5. Step 5: Solve for x
   x = 4,321,221,696/30,684
6. Step 6: Final answer
   x = 140,829.80