Finding the Third Proportional to 959 and 2,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   959 : 2,093.50 = 2,093.50 : x
2. Step 2: Convert to fraction form
   959/2,093.50 = 2,093.50/x
3. Step 3: Cross multiply
   959x = 2,093.50 × 2,093.50
4. Step 4: Simplify right side
   959x = 4,382,742.25
5. Step 5: Solve for x
   x = 4,382,742.25/959
6. Step 6: Final answer
   x = 4,570.12