Finding the Third Proportional to 1,849 and 3,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849 : 3,109.50 = 3,109.50 : x
2. Step 2: Convert to fraction form
   1,849/3,109.50 = 3,109.50/x
3. Step 3: Cross multiply
   1,849x = 3,109.50 × 3,109.50
4. Step 4: Simplify right side
   1,849x = 9,668,990.25
5. Step 5: Solve for x
   x = 9,668,990.25/1,849
6. Step 6: Final answer
   x = 5,229.31