Finding the Third Proportional to 1,819.50 and 4,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,819.50 : 4,229.25 = 4,229.25 : x
2. Step 2: Convert to fraction form
   1,819.50/4,229.25 = 4,229.25/x
3. Step 3: Cross multiply
   1,819.50x = 4,229.25 × 4,229.25
4. Step 4: Simplify right side
   1,819.50x = 17,886,555.56
5. Step 5: Solve for x
   x = 17,886,555.56/1,819.50
6. Step 6: Final answer
   x = 9,830.48