Finding the Third Proportional to 3,570 and 7,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,570 : 7,747.50 = 7,747.50 : x
2. Step 2: Convert to fraction form
   3,570/7,747.50 = 7,747.50/x
3. Step 3: Cross multiply
   3,570x = 7,747.50 × 7,747.50
4. Step 4: Simplify right side
   3,570x = 60,023,756.25
5. Step 5: Solve for x
   x = 60,023,756.25/3,570
6. Step 6: Final answer
   x = 16,813.38