Finding the Third Proportional to 2,770.50 and 3,537

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.50 : 3,537 = 3,537 : x
2. Step 2: Convert to fraction form
   2,770.50/3,537 = 3,537/x
3. Step 3: Cross multiply
   2,770.50x = 3,537 × 3,537
4. Step 4: Simplify right side
   2,770.50x = 12,510,369
5. Step 5: Solve for x
   x = 12,510,369/2,770.50
6. Step 6: Final answer
   x = 4,515.56