Finding the Third Proportional to 986 and 1,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   986 : 1,880.50 = 1,880.50 : x
2. Step 2: Convert to fraction form
   986/1,880.50 = 1,880.50/x
3. Step 3: Cross multiply
   986x = 1,880.50 × 1,880.50
4. Step 4: Simplify right side
   986x = 3,536,280.25
5. Step 5: Solve for x
   x = 3,536,280.25/986
6. Step 6: Final answer
   x = 3,586.49