Finding the Third Proportional to 1,346.50 and 2,144

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.50 : 2,144 = 2,144 : x
2. Step 2: Convert to fraction form
   1,346.50/2,144 = 2,144/x
3. Step 3: Cross multiply
   1,346.50x = 2,144 × 2,144
4. Step 4: Simplify right side
   1,346.50x = 4,596,736
5. Step 5: Solve for x
   x = 4,596,736/1,346.50
6. Step 6: Final answer
   x = 3,413.84