Finding the Third Proportional to 1,782.28 and 3,814.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.28 : 3,814.31 = 3,814.31 : x
2. Step 2: Convert to fraction form
   1,782.28/3,814.31 = 3,814.31/x
3. Step 3: Cross multiply
   1,782.28x = 3,814.31 × 3,814.31
4. Step 4: Simplify right side
   1,782.28x = 14,548,979.85
5. Step 5: Solve for x
   x = 14,548,979.85/1,782.28
6. Step 6: Final answer
   x = 8,163.12