Finding the Third Proportional to 986 and 1,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   986 : 1,401.50 = 1,401.50 : x
2. Step 2: Convert to fraction form
   986/1,401.50 = 1,401.50/x
3. Step 3: Cross multiply
   986x = 1,401.50 × 1,401.50
4. Step 4: Simplify right side
   986x = 1,964,202.25
5. Step 5: Solve for x
   x = 1,964,202.25/986
6. Step 6: Final answer
   x = 1,992.09