Finding the Third Proportional to 2,781 and 5,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781 : 5,980.50 = 5,980.50 : x
2. Step 2: Convert to fraction form
   2,781/5,980.50 = 5,980.50/x
3. Step 3: Cross multiply
   2,781x = 5,980.50 × 5,980.50
4. Step 4: Simplify right side
   2,781x = 35,766,380.25
5. Step 5: Solve for x
   x = 35,766,380.25/2,781
6. Step 6: Final answer
   x = 12,860.98