Finding the Third Proportional to 1,189 and 2,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189 : 2,766.50 = 2,766.50 : x
2. Step 2: Convert to fraction form
   1,189/2,766.50 = 2,766.50/x
3. Step 3: Cross multiply
   1,189x = 2,766.50 × 2,766.50
4. Step 4: Simplify right side
   1,189x = 7,653,522.25
5. Step 5: Solve for x
   x = 7,653,522.25/1,189
6. Step 6: Final answer
   x = 6,436.94