Finding the Third Proportional to 2,378 and 3,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378 : 3,495.50 = 3,495.50 : x
2. Step 2: Convert to fraction form
   2,378/3,495.50 = 3,495.50/x
3. Step 3: Cross multiply
   2,378x = 3,495.50 × 3,495.50
4. Step 4: Simplify right side
   2,378x = 12,218,520.25
5. Step 5: Solve for x
   x = 12,218,520.25/2,378
6. Step 6: Final answer
   x = 5,138.15