Finding the Third Proportional to 1,754.72 and 3,782.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.72 : 3,782.81 = 3,782.81 : x
2. Step 2: Convert to fraction form
   1,754.72/3,782.81 = 3,782.81/x
3. Step 3: Cross multiply
   1,754.72x = 3,782.81 × 3,782.81
4. Step 4: Simplify right side
   1,754.72x = 14,309,670.41
5. Step 5: Solve for x
   x = 14,309,670.41/1,754.72
6. Step 6: Final answer
   x = 8,154.97