Finding the Third Proportional to 36,027 and 72,783

Step by Step Solution

1. Step 1: Write the proportion equation
   36,027 : 72,783 = 72,783 : x
2. Step 2: Convert to fraction form
   36,027/72,783 = 72,783/x
3. Step 3: Cross multiply
   36,027x = 72,783 × 72,783
4. Step 4: Simplify right side
   36,027x = 5,297,365,089
5. Step 5: Solve for x
   x = 5,297,365,089/36,027
6. Step 6: Final answer
   x = 147,038.75