Finding the Third Proportional to 1,819.50 and 2,744.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,819.50 : 2,744.63 = 2,744.63 : x
2. Step 2: Convert to fraction form
   1,819.50/2,744.63 = 2,744.63/x
3. Step 3: Cross multiply
   1,819.50x = 2,744.63 × 2,744.63
4. Step 4: Simplify right side
   1,819.50x = 7,532,966.39
5. Step 5: Solve for x
   x = 7,532,966.39/1,819.50
6. Step 6: Final answer
   x = 4,140.13