Finding the Third Proportional to 3,778 and 5,670.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778 : 5,670.25 = 5,670.25 : x
2. Step 2: Convert to fraction form
   3,778/5,670.25 = 5,670.25/x
3. Step 3: Cross multiply
   3,778x = 5,670.25 × 5,670.25
4. Step 4: Simplify right side
   3,778x = 32,151,735.06
5. Step 5: Solve for x
   x = 32,151,735.06/3,778
6. Step 6: Final answer
   x = 8,510.25