Finding the Third Proportional to 1,823.06 and 3,969.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.06 : 3,969.56 = 3,969.56 : x
2. Step 2: Convert to fraction form
   1,823.06/3,969.56 = 3,969.56/x
3. Step 3: Cross multiply
   1,823.06x = 3,969.56 × 3,969.56
4. Step 4: Simplify right side
   1,823.06x = 15,757,426.44
5. Step 5: Solve for x
   x = 15,757,426.44/1,823.06
6. Step 6: Final answer
   x = 8,643.38