Finding the Third Proportional to 2,533.78 and 3,498.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.78 : 3,498.19 = 3,498.19 : x
2. Step 2: Convert to fraction form
   2,533.78/3,498.19 = 3,498.19/x
3. Step 3: Cross multiply
   2,533.78x = 3,498.19 × 3,498.19
4. Step 4: Simplify right side
   2,533.78x = 12,237,315.79
5. Step 5: Solve for x
   x = 12,237,315.79/2,533.78
6. Step 6: Final answer
   x = 4,829.67