Finding the Third Proportional to 2,478 and 3,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478 : 3,499.50 = 3,499.50 : x
2. Step 2: Convert to fraction form
   2,478/3,499.50 = 3,499.50/x
3. Step 3: Cross multiply
   2,478x = 3,499.50 × 3,499.50
4. Step 4: Simplify right side
   2,478x = 12,246,500.25
5. Step 5: Solve for x
   x = 12,246,500.25/2,478
6. Step 6: Final answer
   x = 4,942.09