Finding the Third Proportional to 5,580.50 and 8,442.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,580.50 : 8,442.75 = 8,442.75 : x
2. Step 2: Convert to fraction form
   5,580.50/8,442.75 = 8,442.75/x
3. Step 3: Cross multiply
   5,580.50x = 8,442.75 × 8,442.75
4. Step 4: Simplify right side
   5,580.50x = 71,280,027.56
5. Step 5: Solve for x
   x = 71,280,027.56/5,580.50
6. Step 6: Final answer
   x = 12,773.05