Finding the Third Proportional to 1,993.50 and 4,680

Step by Step Solution

1. Step 1: Write the proportion equation
   1,993.50 : 4,680 = 4,680 : x
2. Step 2: Convert to fraction form
   1,993.50/4,680 = 4,680/x
3. Step 3: Cross multiply
   1,993.50x = 4,680 × 4,680
4. Step 4: Simplify right side
   1,993.50x = 21,902,400
5. Step 5: Solve for x
   x = 21,902,400/1,993.50
6. Step 6: Final answer
   x = 10,986.91