Finding the Third Proportional to 1,209.94 and 1,830.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.94 : 1,830.09 = 1,830.09 : x
2. Step 2: Convert to fraction form
   1,209.94/1,830.09 = 1,830.09/x
3. Step 3: Cross multiply
   1,209.94x = 1,830.09 × 1,830.09
4. Step 4: Simplify right side
   1,209.94x = 3,349,243.13
5. Step 5: Solve for x
   x = 3,349,243.13/1,209.94
6. Step 6: Final answer
   x = 2,768.11