Finding the Third Proportional to 2,819 and 4,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,819 : 4,675.50 = 4,675.50 : x
2. Step 2: Convert to fraction form
   2,819/4,675.50 = 4,675.50/x
3. Step 3: Cross multiply
   2,819x = 4,675.50 × 4,675.50
4. Step 4: Simplify right side
   2,819x = 21,860,300.25
5. Step 5: Solve for x
   x = 21,860,300.25/2,819
6. Step 6: Final answer
   x = 7,754.63