Finding the Third Proportional to 3,853 and 5,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853 : 5,770.50 = 5,770.50 : x
2. Step 2: Convert to fraction form
   3,853/5,770.50 = 5,770.50/x
3. Step 3: Cross multiply
   3,853x = 5,770.50 × 5,770.50
4. Step 4: Simplify right side
   3,853x = 33,298,670.25
5. Step 5: Solve for x
   x = 33,298,670.25/3,853
6. Step 6: Final answer
   x = 8,642.27