Finding the Third Proportional to 2,595 and 4,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595 : 4,162.50 = 4,162.50 : x
2. Step 2: Convert to fraction form
   2,595/4,162.50 = 4,162.50/x
3. Step 3: Cross multiply
   2,595x = 4,162.50 × 4,162.50
4. Step 4: Simplify right side
   2,595x = 17,326,406.25
5. Step 5: Solve for x
   x = 17,326,406.25/2,595
6. Step 6: Final answer
   x = 6,676.84