Finding the Third Proportional to 3,771.50 and 5,486.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,771.50 : 5,486.25 = 5,486.25 : x
2. Step 2: Convert to fraction form
   3,771.50/5,486.25 = 5,486.25/x
3. Step 3: Cross multiply
   3,771.50x = 5,486.25 × 5,486.25
4. Step 4: Simplify right side
   3,771.50x = 30,098,939.06
5. Step 5: Solve for x
   x = 30,098,939.06/3,771.50
6. Step 6: Final answer
   x = 7,980.63