Finding the Third Proportional to 3,770.50 and 5,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,770.50 : 5,511.50 = 5,511.50 : x
2. Step 2: Convert to fraction form
   3,770.50/5,511.50 = 5,511.50/x
3. Step 3: Cross multiply
   3,770.50x = 5,511.50 × 5,511.50
4. Step 4: Simplify right side
   3,770.50x = 30,376,632.25
5. Step 5: Solve for x
   x = 30,376,632.25/3,770.50
6. Step 6: Final answer
   x = 8,056.39