Finding the Third Proportional to 2,781 and 7,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781 : 7,132.50 = 7,132.50 : x
2. Step 2: Convert to fraction form
   2,781/7,132.50 = 7,132.50/x
3. Step 3: Cross multiply
   2,781x = 7,132.50 × 7,132.50
4. Step 4: Simplify right side
   2,781x = 50,872,556.25
5. Step 5: Solve for x
   x = 50,872,556.25/2,781
6. Step 6: Final answer
   x = 18,292.90