Finding the Third Proportional to 5,783 and 12,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783 : 12,442.50 = 12,442.50 : x
2. Step 2: Convert to fraction form
   5,783/12,442.50 = 12,442.50/x
3. Step 3: Cross multiply
   5,783x = 12,442.50 × 12,442.50
4. Step 4: Simplify right side
   5,783x = 154,815,806.25
5. Step 5: Solve for x
   x = 154,815,806.25/5,783
6. Step 6: Final answer
   x = 26,770.85