Finding the Third Proportional to 1,946.81 and 2,805.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.81 : 2,805.56 = 2,805.56 : x
2. Step 2: Convert to fraction form
   1,946.81/2,805.56 = 2,805.56/x
3. Step 3: Cross multiply
   1,946.81x = 2,805.56 × 2,805.56
4. Step 4: Simplify right side
   1,946.81x = 7,871,180.94
5. Step 5: Solve for x
   x = 7,871,180.94/1,946.81
6. Step 6: Final answer
   x = 4,043.11