Finding the Third Proportional to 1,823.25 and 2,096.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.25 : 2,096.63 = 2,096.63 : x
2. Step 2: Convert to fraction form
   1,823.25/2,096.63 = 2,096.63/x
3. Step 3: Cross multiply
   1,823.25x = 2,096.63 × 2,096.63
4. Step 4: Simplify right side
   1,823.25x = 4,395,836.39
5. Step 5: Solve for x
   x = 4,395,836.39/1,823.25
6. Step 6: Final answer
   x = 2,410.99