Finding the Third Proportional to 36,976 and 65,736

Step by Step Solution

1. Step 1: Write the proportion equation
   36,976 : 65,736 = 65,736 : x
2. Step 2: Convert to fraction form
   36,976/65,736 = 65,736/x
3. Step 3: Cross multiply
   36,976x = 65,736 × 65,736
4. Step 4: Simplify right side
   36,976x = 4,321,221,696
5. Step 5: Solve for x
   x = 4,321,221,696/36,976
6. Step 6: Final answer
   x = 116,865.58