Finding the Third Proportional to 2,636 and 4,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636 : 4,112.50 = 4,112.50 : x
2. Step 2: Convert to fraction form
   2,636/4,112.50 = 4,112.50/x
3. Step 3: Cross multiply
   2,636x = 4,112.50 × 4,112.50
4. Step 4: Simplify right side
   2,636x = 16,912,656.25
5. Step 5: Solve for x
   x = 16,912,656.25/2,636
6. Step 6: Final answer
   x = 6,416.03