Finding the Third Proportional to 1,648.69 and 2,198.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.69 : 2,198.81 = 2,198.81 : x
2. Step 2: Convert to fraction form
   1,648.69/2,198.81 = 2,198.81/x
3. Step 3: Cross multiply
   1,648.69x = 2,198.81 × 2,198.81
4. Step 4: Simplify right side
   1,648.69x = 4,834,776.41
5. Step 5: Solve for x
   x = 4,834,776.41/1,648.69
6. Step 6: Final answer
   x = 2,932.50