Finding the Third Proportional to 1,215.84 and 1,800.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.84 : 1,800.14 = 1,800.14 : x
2. Step 2: Convert to fraction form
   1,215.84/1,800.14 = 1,800.14/x
3. Step 3: Cross multiply
   1,215.84x = 1,800.14 × 1,800.14
4. Step 4: Simplify right side
   1,215.84x = 3,240,506.27
5. Step 5: Solve for x
   x = 3,240,506.27/1,215.84
6. Step 6: Final answer
   x = 2,665.23