Finding the Third Proportional to 2,919 and 7,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,919 : 7,675.50 = 7,675.50 : x
2. Step 2: Convert to fraction form
   2,919/7,675.50 = 7,675.50/x
3. Step 3: Cross multiply
   2,919x = 7,675.50 × 7,675.50
4. Step 4: Simplify right side
   2,919x = 58,913,300.25
5. Step 5: Solve for x
   x = 58,913,300.25/2,919
6. Step 6: Final answer
   x = 20,182.70