Finding the Third Proportional to 2,108 and 3,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108 : 3,162.50 = 3,162.50 : x
2. Step 2: Convert to fraction form
   2,108/3,162.50 = 3,162.50/x
3. Step 3: Cross multiply
   2,108x = 3,162.50 × 3,162.50
4. Step 4: Simplify right side
   2,108x = 10,001,406.25
5. Step 5: Solve for x
   x = 10,001,406.25/2,108
6. Step 6: Final answer
   x = 4,744.50