Finding the Third Proportional to 5,580.38 and 8,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,580.38 : 8,442.50 = 8,442.50 : x
2. Step 2: Convert to fraction form
   5,580.38/8,442.50 = 8,442.50/x
3. Step 3: Cross multiply
   5,580.38x = 8,442.50 × 8,442.50
4. Step 4: Simplify right side
   5,580.38x = 71,275,806.25
5. Step 5: Solve for x
   x = 71,275,806.25/5,580.38
6. Step 6: Final answer
   x = 12,772.58