Finding the Third Proportional to 2,607.50 and 4,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,607.50 : 4,097.75 = 4,097.75 : x
2. Step 2: Convert to fraction form
   2,607.50/4,097.75 = 4,097.75/x
3. Step 3: Cross multiply
   2,607.50x = 4,097.75 × 4,097.75
4. Step 4: Simplify right side
   2,607.50x = 16,791,555.06
5. Step 5: Solve for x
   x = 16,791,555.06/2,607.50
6. Step 6: Final answer
   x = 6,439.71