Finding the Third Proportional to 2,086 and 3,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086 : 3,207.50 = 3,207.50 : x
2. Step 2: Convert to fraction form
   2,086/3,207.50 = 3,207.50/x
3. Step 3: Cross multiply
   2,086x = 3,207.50 × 3,207.50
4. Step 4: Simplify right side
   2,086x = 10,288,056.25
5. Step 5: Solve for x
   x = 10,288,056.25/2,086
6. Step 6: Final answer
   x = 4,931.95