Finding the Third Proportional to 1,641.94 and 2,219.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.94 : 2,219.81 = 2,219.81 : x
2. Step 2: Convert to fraction form
   1,641.94/2,219.81 = 2,219.81/x
3. Step 3: Cross multiply
   1,641.94x = 2,219.81 × 2,219.81
4. Step 4: Simplify right side
   1,641.94x = 4,927,567.54
5. Step 5: Solve for x
   x = 4,927,567.54/1,641.94
6. Step 6: Final answer
   x = 3,001.07