Finding the Third Proportional to 2,827 and 3,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827 : 3,770.50 = 3,770.50 : x
2. Step 2: Convert to fraction form
   2,827/3,770.50 = 3,770.50/x
3. Step 3: Cross multiply
   2,827x = 3,770.50 × 3,770.50
4. Step 4: Simplify right side
   2,827x = 14,216,670.25
5. Step 5: Solve for x
   x = 14,216,670.25/2,827
6. Step 6: Final answer
   x = 5,028.89