Finding the Third Proportional to 1,231.50 and 1,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,231.50 : 1,958.25 = 1,958.25 : x
2. Step 2: Convert to fraction form
   1,231.50/1,958.25 = 1,958.25/x
3. Step 3: Cross multiply
   1,231.50x = 1,958.25 × 1,958.25
4. Step 4: Simplify right side
   1,231.50x = 3,834,743.06
5. Step 5: Solve for x
   x = 3,834,743.06/1,231.50
6. Step 6: Final answer
   x = 3,113.88