Finding the Third Proportional to 3,109.50 and 4,678.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.50 : 4,678.88 = 4,678.88 : x
2. Step 2: Convert to fraction form
   3,109.50/4,678.88 = 4,678.88/x
3. Step 3: Cross multiply
   3,109.50x = 4,678.88 × 4,678.88
4. Step 4: Simplify right side
   3,109.50x = 21,891,871.27
5. Step 5: Solve for x
   x = 21,891,871.27/3,109.50
6. Step 6: Final answer
   x = 7,040.32