Finding the Third Proportional to 35,642 and 76,783

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642 : 76,783 = 76,783 : x
2. Step 2: Convert to fraction form
   35,642/76,783 = 76,783/x
3. Step 3: Cross multiply
   35,642x = 76,783 × 76,783
4. Step 4: Simplify right side
   35,642x = 5,895,629,089
5. Step 5: Solve for x
   x = 5,895,629,089/35,642
6. Step 6: Final answer
   x = 165,412.41