Finding the Third Proportional to 1,848 and 2,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,848 : 2,743.50 = 2,743.50 : x
2. Step 2: Convert to fraction form
   1,848/2,743.50 = 2,743.50/x
3. Step 3: Cross multiply
   1,848x = 2,743.50 × 2,743.50
4. Step 4: Simplify right side
   1,848x = 7,526,792.25
5. Step 5: Solve for x
   x = 7,526,792.25/1,848
6. Step 6: Final answer
   x = 4,072.94