Finding the Third Proportional to 3,138 and 3,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,138 : 3,799.50 = 3,799.50 : x
2. Step 2: Convert to fraction form
   3,138/3,799.50 = 3,799.50/x
3. Step 3: Cross multiply
   3,138x = 3,799.50 × 3,799.50
4. Step 4: Simplify right side
   3,138x = 14,436,200.25
5. Step 5: Solve for x
   x = 14,436,200.25/3,138
6. Step 6: Final answer
   x = 4,600.45