Finding the Third Proportional to 2,614 and 3,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614 : 3,799.50 = 3,799.50 : x
2. Step 2: Convert to fraction form
   2,614/3,799.50 = 3,799.50/x
3. Step 3: Cross multiply
   2,614x = 3,799.50 × 3,799.50
4. Step 4: Simplify right side
   2,614x = 14,436,200.25
5. Step 5: Solve for x
   x = 14,436,200.25/2,614
6. Step 6: Final answer
   x = 5,522.65