Finding the Third Proportional to 5,698.50 and 8,270.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,698.50 : 8,270.63 = 8,270.63 : x
2. Step 2: Convert to fraction form
   5,698.50/8,270.63 = 8,270.63/x
3. Step 3: Cross multiply
   5,698.50x = 8,270.63 × 8,270.63
4. Step 4: Simplify right side
   5,698.50x = 68,403,237.89
5. Step 5: Solve for x
   x = 68,403,237.89/5,698.50
6. Step 6: Final answer
   x = 12,003.73