Finding the Third Proportional to 2,148.50 and 2,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148.50 : 2,355.50 = 2,355.50 : x
2. Step 2: Convert to fraction form
   2,148.50/2,355.50 = 2,355.50/x
3. Step 3: Cross multiply
   2,148.50x = 2,355.50 × 2,355.50
4. Step 4: Simplify right side
   2,148.50x = 5,548,380.25
5. Step 5: Solve for x
   x = 5,548,380.25/2,148.50
6. Step 6: Final answer
   x = 2,582.44