Finding the Third Proportional to 1,166.34 and 1,783.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.34 : 1,783.41 = 1,783.41 : x
2. Step 2: Convert to fraction form
   1,166.34/1,783.41 = 1,783.41/x
3. Step 3: Cross multiply
   1,166.34x = 1,783.41 × 1,783.41
4. Step 4: Simplify right side
   1,166.34x = 3,180,537.85
5. Step 5: Solve for x
   x = 3,180,537.85/1,166.34
6. Step 6: Final answer
   x = 2,726.93