Finding the Third Proportional to 1,540.50 and 1,671

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.50 : 1,671 = 1,671 : x
2. Step 2: Convert to fraction form
   1,540.50/1,671 = 1,671/x
3. Step 3: Cross multiply
   1,540.50x = 1,671 × 1,671
4. Step 4: Simplify right side
   1,540.50x = 2,792,241
5. Step 5: Solve for x
   x = 2,792,241/1,540.50
6. Step 6: Final answer
   x = 1,812.56