Finding the Third Proportional to 40,384 and 82,783

Step by Step Solution

1. Step 1: Write the proportion equation
   40,384 : 82,783 = 82,783 : x
2. Step 2: Convert to fraction form
   40,384/82,783 = 82,783/x
3. Step 3: Cross multiply
   40,384x = 82,783 × 82,783
4. Step 4: Simplify right side
   40,384x = 6,853,025,089
5. Step 5: Solve for x
   x = 6,853,025,089/40,384
6. Step 6: Final answer
   x = 169,696.54