Finding the Third Proportional to 1,783.69 and 3,839.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.69 : 3,839.06 = 3,839.06 : x
2. Step 2: Convert to fraction form
   1,783.69/3,839.06 = 3,839.06/x
3. Step 3: Cross multiply
   1,783.69x = 3,839.06 × 3,839.06
4. Step 4: Simplify right side
   1,783.69x = 14,738,400.88
5. Step 5: Solve for x
   x = 14,738,400.88/1,783.69
6. Step 6: Final answer
   x = 8,262.88