Finding the Third Proportional to 1,754.72 and 3,839.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.72 : 3,839.16 = 3,839.16 : x
2. Step 2: Convert to fraction form
   1,754.72/3,839.16 = 3,839.16/x
3. Step 3: Cross multiply
   1,754.72x = 3,839.16 × 3,839.16
4. Step 4: Simplify right side
   1,754.72x = 14,739,120.71
5. Step 5: Solve for x
   x = 14,739,120.71/1,754.72
6. Step 6: Final answer
   x = 8,399.71