Finding the Third Proportional to 1,949.81 and 4,038.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.81 : 4,038.56 = 4,038.56 : x
2. Step 2: Convert to fraction form
   1,949.81/4,038.56 = 4,038.56/x
3. Step 3: Cross multiply
   1,949.81x = 4,038.56 × 4,038.56
4. Step 4: Simplify right side
   1,949.81x = 16,309,987.07
5. Step 5: Solve for x
   x = 16,309,987.07/1,949.81
6. Step 6: Final answer
   x = 8,364.90