Finding the Third Proportional to 3,097.75 and 4,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097.75 : 4,619.50 = 4,619.50 : x
2. Step 2: Convert to fraction form
   3,097.75/4,619.50 = 4,619.50/x
3. Step 3: Cross multiply
   3,097.75x = 4,619.50 × 4,619.50
4. Step 4: Simplify right side
   3,097.75x = 21,339,780.25
5. Step 5: Solve for x
   x = 21,339,780.25/3,097.75
6. Step 6: Final answer
   x = 6,888.80