Finding the Third Proportional to 32,684 and 51,783

Step by Step Solution

1. Step 1: Write the proportion equation
   32,684 : 51,783 = 51,783 : x
2. Step 2: Convert to fraction form
   32,684/51,783 = 51,783/x
3. Step 3: Cross multiply
   32,684x = 51,783 × 51,783
4. Step 4: Simplify right side
   32,684x = 2,681,479,089
5. Step 5: Solve for x
   x = 2,681,479,089/32,684
6. Step 6: Final answer
   x = 82,042.56