Finding the Third Proportional to 1,815.75 and 2,111.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.75 : 2,111.81 = 2,111.81 : x
2. Step 2: Convert to fraction form
   1,815.75/2,111.81 = 2,111.81/x
3. Step 3: Cross multiply
   1,815.75x = 2,111.81 × 2,111.81
4. Step 4: Simplify right side
   1,815.75x = 4,459,752.04
5. Step 5: Solve for x
   x = 4,459,752.04/1,815.75
6. Step 6: Final answer
   x = 2,456.15