Finding the Third Proportional to 1,298 and 2,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298 : 2,744.50 = 2,744.50 : x
2. Step 2: Convert to fraction form
   1,298/2,744.50 = 2,744.50/x
3. Step 3: Cross multiply
   1,298x = 2,744.50 × 2,744.50
4. Step 4: Simplify right side
   1,298x = 7,532,280.25
5. Step 5: Solve for x
   x = 7,532,280.25/1,298
6. Step 6: Final answer
   x = 5,802.99